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Finding the Third Proportional to 177,892 and 275,151

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Solution

The third proportional to 177,892 and 275,151 is: 425,584.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,892 : 275,151 = 275,151 : x
  2. Step 2: Convert to fraction form
    177,892/275,151 = 275,151/x
  3. Step 3: Cross multiply
    177,892x = 275,151 × 275,151
  4. Step 4: Simplify right side
    177,892x = 75,708,072,801
  5. Step 5: Solve for x
    x = 75,708,072,801/177,892
  6. Step 6: Final answer
    x = 425,584.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.