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If a : b = 2 : 5, c: b = 3 : 4, then a : b : c is equal to:
a : b = $$(2 : 5)\times{4}$$
c : b = $$(3 : 4 )\times{5}$$
$$\Rightarrow$$ a : b = 8 : 20
And c : b = 15 : 20
Combining we get, a : b : c = 8 : 20 : 15
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