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The phrase "a third part of" is correct and usable in written English.
It can be used when referring to one of three equal divisions of something.
Example: "A third part of the budget will be allocated to marketing efforts this year."
Alternatives: "one-third of" or "a third of".
Exact(32)
This makes it more likely that a third part of the diversion project might one day go ahead.
A third part of the device, the gate, is a thin metal layer deposited on the silicon dioxide.
A third part of the exhibition consists of 60 pencil drawings of the characters in Under Milk Wood.
A third part of the ruling also limited the president's power by denying him the right to authorize arbitrary detentions under the country's emergency law.
A third, part of a legal settlement approved on Mr. Clinton's last day in office, would require the Environmental Protection Agency to set new standards for pesticide use that would take into account any health risks to children.
The women who thought they were wearing counterfeits lied about those locations more often than those who did not.In a third part of the study, the participants were asked questions about the honesty and ethics of people they knew and people in general.
Similar(27)
Jerusalem is a second part of the disinclination to negotiate.
A second part of the case, involving two patents on Java, began on Monday.
So I composed the soundtrack for A Sixth Part of the World".
It is, he has said, "the heart of my being, almost a second part of myself".
He then proposed a second part of the exhibit, which was unveiled on Aug. 28.
More suggestions(3)
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com