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Question

Find the third proportional of:
(i) 2 m 40 cm and 40 cm
(ii) 1.8 and 0.6

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Solution

(i) 2 m 40 cm and 40 cm
It can be written as
240 cm and 40 cm
Here the 3rd proportional = (40 × 40)/ 240 = 20/3 = 6 2/3 cm

(ii) 1.8 and 0.6
Here the 3rd proportional = (0.6 × 0.6)/ 1.8 = 0.36/ 1.8
Multiplying by 100
= 36/ 180
So we get
= 1/5
= 0.2

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