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Finding the Third Proportional to 111,444 and 239,448

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Solution

The third proportional to 111,444 and 239,448 is: 514,476.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,444 : 239,448 = 239,448 : x
  2. Step 2: Convert to fraction form
    111,444/239,448 = 239,448/x
  3. Step 3: Cross multiply
    111,444x = 239,448 × 239,448
  4. Step 4: Simplify right side
    111,444x = 57,335,344,704
  5. Step 5: Solve for x
    x = 57,335,344,704/111,444
  6. Step 6: Final answer
    x = 514,476.73

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.