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The phrase "reached approximately" is correct and usable in written English.
You can use it when you want to approximate a number, such as when you are describing how many people attended an event. For example, "Over 200 people attended the event; approximately 150 reached the venue on foot and the rest arrived by car."
Exact(60)
They reached approximately 27,200 feet (8,290 metres), and there Lambert and Tenzing bivouacked.
When the cell confluence reached approximately 80%, bFGF was withdrawn.
The maximum discrepancy in the results reached approximately 2 ns.
After 3 weeks, the tumor size reached approximately 200 mm3.
Treatment started when tumor volumes reached approximately 0.5 cm3.
The area of Nishinoshima reached approximately 2.7 km2.7
However, the fracture toughness of coatings maximized at the content of defects reached approximately 9.4%.
In contrast, the difference (HFh − HFprobe)/HFprobe× 100 reached approximately − 16%, and the difference (HFl − HFprobe)/HFprobe× 100 reached approximately − 10%.
The conidia transformation efficiency reached approximately 110 to 250 transformants per 1 × 105 conidia.
After 35 days of culture, the seedlings' average length reached approximately 5 mm.
The molar yield of xylitol to glucose reached approximately 2.2 (mol xylitol mol−1 glucose).
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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