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Finding the Third Proportional to 176,374.97 and 387,865.13

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Solution

The third proportional to 176,374.97 and 387,865.13 is: 852,951.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,374.97 : 387,865.13 = 387,865.13 : x
  2. Step 2: Convert to fraction form
    176,374.97/387,865.13 = 387,865.13/x
  3. Step 3: Cross multiply
    176,374.97x = 387,865.13 × 387,865.13
  4. Step 4: Simplify right side
    176,374.97x = 150,439,355,191.27
  5. Step 5: Solve for x
    x = 150,439,355,191.27/176,374.97
  6. Step 6: Final answer
    x = 852,951.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.