Finding the Third Proportional to 142,959 and 209,662
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Solution
The third proportional to 142,959 and 209,662 is: 307,487.84
Step by Step Solution
- Step 1: Write the proportion equation
142,959 : 209,662 = 209,662 : x - Step 2: Convert to fraction form
142,959/209,662 = 209,662/x - Step 3: Cross multiply
142,959x = 209,662 × 209,662 - Step 4: Simplify right side
142,959x = 43,958,154,244 - Step 5: Solve for x
x = 43,958,154,244/142,959 - Step 6: Final answer
x = 307,487.84
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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.