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Finding the Third Proportional to 148,839.50 and 224,626

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Solution

The third proportional to 148,839.50 and 224,626 is: 339,001.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,839.50 : 224,626 = 224,626 : x
  2. Step 2: Convert to fraction form
    148,839.50/224,626 = 224,626/x
  3. Step 3: Cross multiply
    148,839.50x = 224,626 × 224,626
  4. Step 4: Simplify right side
    148,839.50x = 50,456,839,876
  5. Step 5: Solve for x
    x = 50,456,839,876/148,839.50
  6. Step 6: Final answer
    x = 339,001.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.