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Finding the Third Proportional to 148,608 and 224,496

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Solution

The third proportional to 148,608 and 224,496 is: 339,136.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,608 : 224,496 = 224,496 : x
  2. Step 2: Convert to fraction form
    148,608/224,496 = 224,496/x
  3. Step 3: Cross multiply
    148,608x = 224,496 × 224,496
  4. Step 4: Simplify right side
    148,608x = 50,398,454,016
  5. Step 5: Solve for x
    x = 50,398,454,016/148,608
  6. Step 6: Final answer
    x = 339,136.88

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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.