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Finding the Third Proportional to 177,727.92 and 380,469.66

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Solution

The third proportional to 177,727.92 and 380,469.66 is: 814,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,727.92 : 380,469.66 = 380,469.66 : x
  2. Step 2: Convert to fraction form
    177,727.92/380,469.66 = 380,469.66/x
  3. Step 3: Cross multiply
    177,727.92x = 380,469.66 × 380,469.66
  4. Step 4: Simplify right side
    177,727.92x = 144,757,159,326.99
  5. Step 5: Solve for x
    x = 144,757,159,326.99/177,727.92
  6. Step 6: Final answer
    x = 814,487.44

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.