Finding the Third Proportional to 342 and 532
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Solution
The third proportional to 342 and 532 is: 827.56
Step by Step Solution
- Step 1: Write the proportion equation
342 : 532 = 532 : x - Step 2: Convert to fraction form
342/532 = 532/x - Step 3: Cross multiply
342x = 532 × 532 - Step 4: Simplify right side
342x = 283,024 - Step 5: Solve for x
x = 283,024/342 - Step 6: Final answer
x = 827.56
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Why These Related Problems?
These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.