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Finding the Third Proportional to 187,885.69 and 394,234.31

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Solution

The third proportional to 187,885.69 and 394,234.31 is: 827,208.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,885.69 : 394,234.31 = 394,234.31 : x
  2. Step 2: Convert to fraction form
    187,885.69/394,234.31 = 394,234.31/x
  3. Step 3: Cross multiply
    187,885.69x = 394,234.31 × 394,234.31
  4. Step 4: Simplify right side
    187,885.69x = 155,420,693,152.35
  5. Step 5: Solve for x
    x = 155,420,693,152.35/187,885.69
  6. Step 6: Final answer
    x = 827,208.79

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