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Finding the Third Proportional to 187,869.38 and 394,193.46

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Solution

The third proportional to 187,869.38 and 394,193.46 is: 827,109.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,869.38 : 394,193.46 = 394,193.46 : x
  2. Step 2: Convert to fraction form
    187,869.38/394,193.46 = 394,193.46/x
  3. Step 3: Cross multiply
    187,869.38x = 394,193.46 × 394,193.46
  4. Step 4: Simplify right side
    187,869.38x = 155,388,484,645.88
  5. Step 5: Solve for x
    x = 155,388,484,645.88/187,869.38
  6. Step 6: Final answer
    x = 827,109.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.