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Finding the Third Proportional to 177,327 and 272,553.75

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Solution

The third proportional to 177,327 and 272,553.75 is: 418,918.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,327 : 272,553.75 = 272,553.75 : x
  2. Step 2: Convert to fraction form
    177,327/272,553.75 = 272,553.75/x
  3. Step 3: Cross multiply
    177,327x = 272,553.75 × 272,553.75
  4. Step 4: Simplify right side
    177,327x = 74,285,546,639.06
  5. Step 5: Solve for x
    x = 74,285,546,639.06/177,327
  6. Step 6: Final answer
    x = 418,918.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.