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Finding the Third Proportional to 109,846.13 and 240,708.38

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Solution

The third proportional to 109,846.13 and 240,708.38 is: 527,469.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,846.13 : 240,708.38 = 240,708.38 : x
  2. Step 2: Convert to fraction form
    109,846.13/240,708.38 = 240,708.38/x
  3. Step 3: Cross multiply
    109,846.13x = 240,708.38 × 240,708.38
  4. Step 4: Simplify right side
    109,846.13x = 57,940,521,795.14
  5. Step 5: Solve for x
    x = 57,940,521,795.14/109,846.13
  6. Step 6: Final answer
    x = 527,469.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.