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Finding the Third Proportional to 145,551 and 217,422

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Solution

The third proportional to 145,551 and 217,422 is: 324,781.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,551 : 217,422 = 217,422 : x
  2. Step 2: Convert to fraction form
    145,551/217,422 = 217,422/x
  3. Step 3: Cross multiply
    145,551x = 217,422 × 217,422
  4. Step 4: Simplify right side
    145,551x = 47,272,326,084
  5. Step 5: Solve for x
    x = 47,272,326,084/145,551
  6. Step 6: Final answer
    x = 324,781.87

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.