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Finding the Third Proportional to 140,265 and 213,327

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Solution

The third proportional to 140,265 and 213,327 is: 324,445.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,265 : 213,327 = 213,327 : x
  2. Step 2: Convert to fraction form
    140,265/213,327 = 213,327/x
  3. Step 3: Cross multiply
    140,265x = 213,327 × 213,327
  4. Step 4: Simplify right side
    140,265x = 45,508,408,929
  5. Step 5: Solve for x
    x = 45,508,408,929/140,265
  6. Step 6: Final answer
    x = 324,445.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.