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Finding the Third Proportional to 151,498 and 224,331

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Solution

The third proportional to 151,498 and 224,331 is: 332,178.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,498 : 224,331 = 224,331 : x
  2. Step 2: Convert to fraction form
    151,498/224,331 = 224,331/x
  3. Step 3: Cross multiply
    151,498x = 224,331 × 224,331
  4. Step 4: Simplify right side
    151,498x = 50,324,397,561
  5. Step 5: Solve for x
    x = 50,324,397,561/151,498
  6. Step 6: Final answer
    x = 332,178.63

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.