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Finding the Third Proportional to 107,382.38 and 242,610.19

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Solution

The third proportional to 107,382.38 and 242,610.19 is: 548,131.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,382.38 : 242,610.19 = 242,610.19 : x
  2. Step 2: Convert to fraction form
    107,382.38/242,610.19 = 242,610.19/x
  3. Step 3: Cross multiply
    107,382.38x = 242,610.19 × 242,610.19
  4. Step 4: Simplify right side
    107,382.38x = 58,859,703,078.79
  5. Step 5: Solve for x
    x = 58,859,703,078.79/107,382.38
  6. Step 6: Final answer
    x = 548,131.88

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.