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Finding the Third Proportional to 176,998.92 and 381,984.61

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Solution

The third proportional to 176,998.92 and 381,984.61 is: 824,367.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,998.92 : 381,984.61 = 381,984.61 : x
  2. Step 2: Convert to fraction form
    176,998.92/381,984.61 = 381,984.61/x
  3. Step 3: Cross multiply
    176,998.92x = 381,984.61 × 381,984.61
  4. Step 4: Simplify right side
    176,998.92x = 145,912,241,799.37
  5. Step 5: Solve for x
    x = 145,912,241,799.37/176,998.92
  6. Step 6: Final answer
    x = 824,367.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.