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Finding the Third Proportional to 187,195.50 and 283,182.75

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Solution

The third proportional to 187,195.50 and 283,182.75 is: 428,388.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,195.50 : 283,182.75 = 283,182.75 : x
  2. Step 2: Convert to fraction form
    187,195.50/283,182.75 = 283,182.75/x
  3. Step 3: Cross multiply
    187,195.50x = 283,182.75 × 283,182.75
  4. Step 4: Simplify right side
    187,195.50x = 80,192,469,897.56
  5. Step 5: Solve for x
    x = 80,192,469,897.56/187,195.50
  6. Step 6: Final answer
    x = 428,388.88

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.