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Finding the Third Proportional to 131,474 and 213,605

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Solution

The third proportional to 131,474 and 213,605 is: 347,042.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,474 : 213,605 = 213,605 : x
  2. Step 2: Convert to fraction form
    131,474/213,605 = 213,605/x
  3. Step 3: Cross multiply
    131,474x = 213,605 × 213,605
  4. Step 4: Simplify right side
    131,474x = 45,627,096,025
  5. Step 5: Solve for x
    x = 45,627,096,025/131,474
  6. Step 6: Final answer
    x = 347,042.73

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.