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Finding the Third Proportional to 140,184 and 217,422

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Solution

The third proportional to 140,184 and 217,422 is: 337,216.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,184 : 217,422 = 217,422 : x
  2. Step 2: Convert to fraction form
    140,184/217,422 = 217,422/x
  3. Step 3: Cross multiply
    140,184x = 217,422 × 217,422
  4. Step 4: Simplify right side
    140,184x = 47,272,326,084
  5. Step 5: Solve for x
    x = 47,272,326,084/140,184
  6. Step 6: Final answer
    x = 337,216.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.