Finding the Third Proportional to 274.13 and 397.13
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Solution
The third proportional to 274.13 and 397.13 is: 575.32
Step by Step Solution
- Step 1: Write the proportion equation
274.13 : 397.13 = 397.13 : x - Step 2: Convert to fraction form
274.13/397.13 = 397.13/x - Step 3: Cross multiply
274.13x = 397.13 × 397.13 - Step 4: Simplify right side
274.13x = 157,708.27 - Step 5: Solve for x
x = 157,708.27/274.13 - Step 6: Final answer
x = 575.32
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Why These Related Problems?
These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.