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Finding the Third Proportional to 138,144.38 and 206,363.25

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Solution

The third proportional to 138,144.38 and 206,363.25 is: 308,270.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,144.38 : 206,363.25 = 206,363.25 : x
  2. Step 2: Convert to fraction form
    138,144.38/206,363.25 = 206,363.25/x
  3. Step 3: Cross multiply
    138,144.38x = 206,363.25 × 206,363.25
  4. Step 4: Simplify right side
    138,144.38x = 42,585,790,950.56
  5. Step 5: Solve for x
    x = 42,585,790,950.56/138,144.38
  6. Step 6: Final answer
    x = 308,270.18

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Why These Related Problems?

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