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Finding the Third Proportional to 227,680 and 339,675

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Solution

The third proportional to 227,680 and 339,675 is: 506,759.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,680 : 339,675 = 339,675 : x
  2. Step 2: Convert to fraction form
    227,680/339,675 = 339,675/x
  3. Step 3: Cross multiply
    227,680x = 339,675 × 339,675
  4. Step 4: Simplify right side
    227,680x = 115,379,105,625
  5. Step 5: Solve for x
    x = 115,379,105,625/227,680
  6. Step 6: Final answer
    x = 506,759.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.