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Finding the Third Proportional to 177,892 and 270,508

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Solution

The third proportional to 177,892 and 270,508 is: 411,342.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,892 : 270,508 = 270,508 : x
  2. Step 2: Convert to fraction form
    177,892/270,508 = 270,508/x
  3. Step 3: Cross multiply
    177,892x = 270,508 × 270,508
  4. Step 4: Simplify right side
    177,892x = 73,174,578,064
  5. Step 5: Solve for x
    x = 73,174,578,064/177,892
  6. Step 6: Final answer
    x = 411,342.71

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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.