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Finding the Third Proportional to 151,902 and 332,398

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Solution

The third proportional to 151,902 and 332,398 is: 727,366.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,902 : 332,398 = 332,398 : x
  2. Step 2: Convert to fraction form
    151,902/332,398 = 332,398/x
  3. Step 3: Cross multiply
    151,902x = 332,398 × 332,398
  4. Step 4: Simplify right side
    151,902x = 110,488,430,404
  5. Step 5: Solve for x
    x = 110,488,430,404/151,902
  6. Step 6: Final answer
    x = 727,366.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.