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Finding the Third Proportional to 140,138.86 and 328,998.27

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Solution

The third proportional to 140,138.86 and 328,998.27 is: 772,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,138.86 : 328,998.27 = 328,998.27 : x
  2. Step 2: Convert to fraction form
    140,138.86/328,998.27 = 328,998.27/x
  3. Step 3: Cross multiply
    140,138.86x = 328,998.27 × 328,998.27
  4. Step 4: Simplify right side
    140,138.86x = 108,239,861,354.56
  5. Step 5: Solve for x
    x = 108,239,861,354.56/140,138.86
  6. Step 6: Final answer
    x = 772,375.78

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.