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Finding the Third Proportional to 111,272 and 247,422

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Solution

The third proportional to 111,272 and 247,422 is: 550,162.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,272 : 247,422 = 247,422 : x
  2. Step 2: Convert to fraction form
    111,272/247,422 = 247,422/x
  3. Step 3: Cross multiply
    111,272x = 247,422 × 247,422
  4. Step 4: Simplify right side
    111,272x = 61,217,646,084
  5. Step 5: Solve for x
    x = 61,217,646,084/111,272
  6. Step 6: Final answer
    x = 550,162.18

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.