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Finding the Third Proportional to 149,496 and 224,676

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Solution

The third proportional to 149,496 and 224,676 is: 337,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,496 : 224,676 = 224,676 : x
  2. Step 2: Convert to fraction form
    149,496/224,676 = 224,676/x
  3. Step 3: Cross multiply
    149,496x = 224,676 × 224,676
  4. Step 4: Simplify right side
    149,496x = 50,479,304,976
  5. Step 5: Solve for x
    x = 50,479,304,976/149,496
  6. Step 6: Final answer
    x = 337,663.25

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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.