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Finding the Third Proportional to 187,952.25 and 394,356.75

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Solution

The third proportional to 187,952.25 and 394,356.75 is: 827,429.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,952.25 : 394,356.75 = 394,356.75 : x
  2. Step 2: Convert to fraction form
    187,952.25/394,356.75 = 394,356.75/x
  3. Step 3: Cross multiply
    187,952.25x = 394,356.75 × 394,356.75
  4. Step 4: Simplify right side
    187,952.25x = 155,517,246,270.56
  5. Step 5: Solve for x
    x = 155,517,246,270.56/187,952.25
  6. Step 6: Final answer
    x = 827,429.55

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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.