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Finding the Third Proportional to 144,524 and 222,422

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Solution

The third proportional to 144,524 and 222,422 is: 342,306.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,524 : 222,422 = 222,422 : x
  2. Step 2: Convert to fraction form
    144,524/222,422 = 222,422/x
  3. Step 3: Cross multiply
    144,524x = 222,422 × 222,422
  4. Step 4: Simplify right side
    144,524x = 49,471,546,084
  5. Step 5: Solve for x
    x = 49,471,546,084/144,524
  6. Step 6: Final answer
    x = 342,306.79

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.