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Finding the Third Proportional to 149,448 and 224,733

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Solution

The third proportional to 149,448 and 224,733 is: 337,943.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,448 : 224,733 = 224,733 : x
  2. Step 2: Convert to fraction form
    149,448/224,733 = 224,733/x
  3. Step 3: Cross multiply
    149,448x = 224,733 × 224,733
  4. Step 4: Simplify right side
    149,448x = 50,504,921,289
  5. Step 5: Solve for x
    x = 50,504,921,289/149,448
  6. Step 6: Final answer
    x = 337,943.11

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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.