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Finding the Third Proportional to 111,694 and 240,884

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Solution

The third proportional to 111,694 and 240,884 is: 519,500.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,694 : 240,884 = 240,884 : x
  2. Step 2: Convert to fraction form
    111,694/240,884 = 240,884/x
  3. Step 3: Cross multiply
    111,694x = 240,884 × 240,884
  4. Step 4: Simplify right side
    111,694x = 58,025,101,456
  5. Step 5: Solve for x
    x = 58,025,101,456/111,694
  6. Step 6: Final answer
    x = 519,500.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.