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Finding the Third Proportional to 187,291.50 and 412,755

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Solution

The third proportional to 187,291.50 and 412,755 is: 909,633.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,291.50 : 412,755 = 412,755 : x
  2. Step 2: Convert to fraction form
    187,291.50/412,755 = 412,755/x
  3. Step 3: Cross multiply
    187,291.50x = 412,755 × 412,755
  4. Step 4: Simplify right side
    187,291.50x = 170,366,690,025
  5. Step 5: Solve for x
    x = 170,366,690,025/187,291.50
  6. Step 6: Final answer
    x = 909,633.86

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.