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Finding the Third Proportional to 149,498 and 224,877

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Solution

The third proportional to 149,498 and 224,877 is: 338,263.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,498 : 224,877 = 224,877 : x
  2. Step 2: Convert to fraction form
    149,498/224,877 = 224,877/x
  3. Step 3: Cross multiply
    149,498x = 224,877 × 224,877
  4. Step 4: Simplify right side
    149,498x = 50,569,665,129
  5. Step 5: Solve for x
    x = 50,569,665,129/149,498
  6. Step 6: Final answer
    x = 338,263.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.