So there we have it. England lead the series 2-1 but the most important thing for New Zealand is they've kept it alive. The next match takes place at Derby on Thursday at 13:00 BST.
For now, you can read Amy Lofthouse's match report, and there are TV highlights on BBC Red Button at 22:30 BST. You can also catch up on the whole series on BBC iPlayer.
Goodbye!
Post update
Player of the match Maddy Green: "We talked about the top order getting in and finishing the job off - for me it was about being there at the end. It was great that Lea Tahuhu came in and smashed a few to take some pressure off.
"We've bowled exceptionally well in all three games - to bowl England out three times is no mean feat - so we've spoke about top order really standing up and someone taking ownership and batting through. Once I got myself in I knew that was my job.
"Katherine Brunt bowled exceptionally well so it was just about seeing off her last couple of overs and then targeting a different bowler. England don't really have any let up so it is about taking your medicine and just cashing in on the bad balls."
Post update
Maddy Green is named Player of the Match for her 70 not out that anchored New Zealand's innings.
Lea Tahuhu may feel a bit hard done by having taken 5-37 and winning the match with a six when her team were stuttering.
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New Zealand captain Sophie Devine: "It is nice to finally get over the line. It was probably tighter than we have liked in the end, but we showed some resilience.
"Maddy Green was outstanding with the bat. It has been shown in this series that one anchor batter can make a real difference and I'm really pleased for Maddy today.
"The nerves were actually alright. We know the tail can certainly do a job. Some of the striking from Lea Tahuhu was outstanding. We've spoken about our batting depth all the way down to 11. It was nice to be able to sit back and watch the girls do the job.
"Lea has been a bit like a caged animal. She has really turned a corner, in terms of her accuracy as well. She might not be as quick as she once was, but the smarts are really starting to shine through too.
"Molly Penfold is really exciting. It was just about bowling fast - she sometimes gets it wrong but we've got absolutely no problem with that at all. We saw how dangerous she could be and she has a huge future ahead of it."
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Absolutely no surprises to see Heather Knight praising Katherine Brunt.
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England captain Heather Knight: "It was too few runs. We showed fight with the bat and ball. What a warrior Katherine Brunt was today. She shepherred the tail and she was brilliant with the ball. We're losing wickets in clusters, maybe a few tired shots, but I thought Lea Tahuhu bowled really well and put us under pressure. They came at us quite hard.
"The bowling has been great in this series. They are looking to be aggressive, take wickets, and put New Zealand under the pump, but they just didn't have enough runs to work with today. Katherine almost deserved five wickets, and Charlie Dean what a find she has been for us. She's been really aggressive and bowled with really control. She's started to look like she's really at home in international cricket which is a good sign.
"I'm not too sure what is going on with the batting. It is probably us getting out rather than them getting us out."
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England's lower order again battled hard to get them to 179 - a score that looked miles away when they were 27-3 before the end of the powerplay.
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Debutant Molly Penfold backed up Lea Tahuhu excellently, bowling with raw pace and she is a young talent who looks a real find for New Zealand.
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Alex Hartley
England spinner on BBC Test Match Special
You reflect on games and games like that where you get absolutely hammered you learn from the most. The batting unit will go away and learn from today and they'll know that they've gone wrong.
They lost too many wickets in the powerplay, and didn't really build any partnerships and now it is a real chance for the batters to reflect on what happened today and go again on Thursday.
Post update
The batting is once again a concern for England. Lea Tahuhu was phenomenal with her 5-37 and deserves all the credit she gets.
But it's been frequent for England in this series, not once have they got the big totals batting first that they'll need in The Ashes and World Cup.
Brunt (49) and Kate Cross (29) top scored from numbers eight and 10.
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Henry Moeran
Commentator on BBC Test Match Special
There is quite a lot for England to think about.
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Alex Hartley
England spinner on BBC Test Match Special
New Zealand have been brilliant today. They put the pressure on England from the toss really - they'd bowled England out in the previous games, they did the same today, and just put England under so much pressure. They were able to just take their time with the bat.
England stole the win in the second ODI really, so if you look back the series should be 2-1 to New Zealand rather than to England.
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What a game that turned out to be!
It never felt like the chase was going to be easy for New Zealand, but they showed real grit and determination to get the win.
A word on Maddy Green too, who finishes 70 not out from 106 balls.
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Henry Moeran
Commentator on BBC Test Match Special
What a good victory that is for New Zealand. They have chased that quite comfortably in the end.
New Zealand win by three wickets
What a way to finish! Lea Tahuhu launches Farrant straight down the ground for six and New Zealand get themselves over the line.
What a performance from Tahuhu who finishes it off with three glorious boundaries in one over.
Post update
Alex Hartley
England spinner on BBC Test Match Special
This keeps the series alive!
NZ 175-7
Need 4 runs to win
Lea Tahuhu smashes Tash Farrant for two consecutive fours!
Now that's what you call easing the pressure.
Post update
Alex Hartley
England spinner on BBC Test Match Special
You can just sense that with every dot ball comes a little bit more pressure for New Zealand. Yes, they only need 13 but stranger things have happened.
NZ 166-7
Need 13 runs to win
A good over from New Zealand's point of view, six coming from it.
Live Reporting
Callum Matthews and Ffion Wynne
All times stated are UK
Latest PostGoodbye
So there we have it. England lead the series 2-1 but the most important thing for New Zealand is they've kept it alive. The next match takes place at Derby on Thursday at 13:00 BST.
For now, you can read Amy Lofthouse's match report, and there are TV highlights on BBC Red Button at 22:30 BST. You can also catch up on the whole series on BBC iPlayer.
Goodbye!
Post update
Player of the match Maddy Green: "We talked about the top order getting in and finishing the job off - for me it was about being there at the end. It was great that Lea Tahuhu came in and smashed a few to take some pressure off.
"We've bowled exceptionally well in all three games - to bowl England out three times is no mean feat - so we've spoke about top order really standing up and someone taking ownership and batting through. Once I got myself in I knew that was my job.
"Katherine Brunt bowled exceptionally well so it was just about seeing off her last couple of overs and then targeting a different bowler. England don't really have any let up so it is about taking your medicine and just cashing in on the bad balls."
Post update
Maddy Green is named Player of the Match for her 70 not out that anchored New Zealand's innings.
Lea Tahuhu may feel a bit hard done by having taken 5-37 and winning the match with a six when her team were stuttering.
Post update
New Zealand captain Sophie Devine: "It is nice to finally get over the line. It was probably tighter than we have liked in the end, but we showed some resilience.
"Maddy Green was outstanding with the bat. It has been shown in this series that one anchor batter can make a real difference and I'm really pleased for Maddy today.
"The nerves were actually alright. We know the tail can certainly do a job. Some of the striking from Lea Tahuhu was outstanding. We've spoken about our batting depth all the way down to 11. It was nice to be able to sit back and watch the girls do the job.
"Lea has been a bit like a caged animal. She has really turned a corner, in terms of her accuracy as well. She might not be as quick as she once was, but the smarts are really starting to shine through too.
"Molly Penfold is really exciting. It was just about bowling fast - she sometimes gets it wrong but we've got absolutely no problem with that at all. We saw how dangerous she could be and she has a huge future ahead of it."
Post update
Absolutely no surprises to see Heather Knight praising Katherine Brunt.
Post update
England captain Heather Knight: "It was too few runs. We showed fight with the bat and ball. What a warrior Katherine Brunt was today. She shepherred the tail and she was brilliant with the ball. We're losing wickets in clusters, maybe a few tired shots, but I thought Lea Tahuhu bowled really well and put us under pressure. They came at us quite hard.
"The bowling has been great in this series. They are looking to be aggressive, take wickets, and put New Zealand under the pump, but they just didn't have enough runs to work with today. Katherine almost deserved five wickets, and Charlie Dean what a find she has been for us. She's been really aggressive and bowled with really control. She's started to look like she's really at home in international cricket which is a good sign.
"I'm not too sure what is going on with the batting. It is probably us getting out rather than them getting us out."
Post update
England's lower order again battled hard to get them to 179 - a score that looked miles away when they were 27-3 before the end of the powerplay.
Post update
Debutant Molly Penfold backed up Lea Tahuhu excellently, bowling with raw pace and she is a young talent who looks a real find for New Zealand.
Post update
Alex Hartley
England spinner on BBC Test Match Special
You reflect on games and games like that where you get absolutely hammered you learn from the most. The batting unit will go away and learn from today and they'll know that they've gone wrong.
They lost too many wickets in the powerplay, and didn't really build any partnerships and now it is a real chance for the batters to reflect on what happened today and go again on Thursday.
Post update
The batting is once again a concern for England. Lea Tahuhu was phenomenal with her 5-37 and deserves all the credit she gets.
But it's been frequent for England in this series, not once have they got the big totals batting first that they'll need in The Ashes and World Cup.
Brunt (49) and Kate Cross (29) top scored from numbers eight and 10.
Post update
Henry Moeran
Commentator on BBC Test Match Special
There is quite a lot for England to think about.
Post update
Alex Hartley
England spinner on BBC Test Match Special
New Zealand have been brilliant today. They put the pressure on England from the toss really - they'd bowled England out in the previous games, they did the same today, and just put England under so much pressure. They were able to just take their time with the bat.
England stole the win in the second ODI really, so if you look back the series should be 2-1 to New Zealand rather than to England.
Post update
What a game that turned out to be!
It never felt like the chase was going to be easy for New Zealand, but they showed real grit and determination to get the win.
A word on Maddy Green too, who finishes 70 not out from 106 balls.
Post update
Henry Moeran
Commentator on BBC Test Match Special
What a good victory that is for New Zealand. They have chased that quite comfortably in the end.
New Zealand win by three wickets
What a way to finish! Lea Tahuhu launches Farrant straight down the ground for six and New Zealand get themselves over the line.
What a performance from Tahuhu who finishes it off with three glorious boundaries in one over.
Post update
Alex Hartley
England spinner on BBC Test Match Special
This keeps the series alive!
NZ 175-7
Need 4 runs to win
Lea Tahuhu smashes Tash Farrant for two consecutive fours!
Now that's what you call easing the pressure.
Post update
Alex Hartley
England spinner on BBC Test Match Special
You can just sense that with every dot ball comes a little bit more pressure for New Zealand. Yes, they only need 13 but stranger things have happened.
NZ 166-7
Need 13 runs to win
A good over from New Zealand's point of view, six coming from it.
It's getting tense.
Post update
Phil Long
BBC Test Match Special statistician
That is the first boundary in nine overs.