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Finding the Third Proportional to 175,241 and 266,327

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Solution

The third proportional to 175,241 and 266,327 is: 404,757.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,241 : 266,327 = 266,327 : x
  2. Step 2: Convert to fraction form
    175,241/266,327 = 266,327/x
  3. Step 3: Cross multiply
    175,241x = 266,327 × 266,327
  4. Step 4: Simplify right side
    175,241x = 70,930,070,929
  5. Step 5: Solve for x
    x = 70,930,070,929/175,241
  6. Step 6: Final answer
    x = 404,757.28

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.