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Finding the Third Proportional to 177,345 and 272,593

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Solution

The third proportional to 177,345 and 272,593 is: 418,996.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,345 : 272,593 = 272,593 : x
  2. Step 2: Convert to fraction form
    177,345/272,593 = 272,593/x
  3. Step 3: Cross multiply
    177,345x = 272,593 × 272,593
  4. Step 4: Simplify right side
    177,345x = 74,306,943,649
  5. Step 5: Solve for x
    x = 74,306,943,649/177,345
  6. Step 6: Final answer
    x = 418,996.55

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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.