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Finding the Third Proportional to 149,494 and 231,713

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Solution

The third proportional to 149,494 and 231,713 is: 359,150.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,494 : 231,713 = 231,713 : x
  2. Step 2: Convert to fraction form
    149,494/231,713 = 231,713/x
  3. Step 3: Cross multiply
    149,494x = 231,713 × 231,713
  4. Step 4: Simplify right side
    149,494x = 53,690,914,369
  5. Step 5: Solve for x
    x = 53,690,914,369/149,494
  6. Step 6: Final answer
    x = 359,150.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.