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Finding the Third Proportional to 112,872 and 240,744

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Solution

The third proportional to 112,872 and 240,744 is: 513,481.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,872 : 240,744 = 240,744 : x
  2. Step 2: Convert to fraction form
    112,872/240,744 = 240,744/x
  3. Step 3: Cross multiply
    112,872x = 240,744 × 240,744
  4. Step 4: Simplify right side
    112,872x = 57,957,673,536
  5. Step 5: Solve for x
    x = 57,957,673,536/112,872
  6. Step 6: Final answer
    x = 513,481.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.