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Finding the Third Proportional to 140,321.11 and 213,984.28

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Solution

The third proportional to 140,321.11 and 213,984.28 is: 326,317.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,321.11 : 213,984.28 = 213,984.28 : x
  2. Step 2: Convert to fraction form
    140,321.11/213,984.28 = 213,984.28/x
  3. Step 3: Cross multiply
    140,321.11x = 213,984.28 × 213,984.28
  4. Step 4: Simplify right side
    140,321.11x = 45,789,272,622.08
  5. Step 5: Solve for x
    x = 45,789,272,622.08/140,321.11
  6. Step 6: Final answer
    x = 326,317.78

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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.