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Finding the Third Proportional to 107,651.50 and 231,755

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Solution

The third proportional to 107,651.50 and 231,755 is: 498,928.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,651.50 : 231,755 = 231,755 : x
  2. Step 2: Convert to fraction form
    107,651.50/231,755 = 231,755/x
  3. Step 3: Cross multiply
    107,651.50x = 231,755 × 231,755
  4. Step 4: Simplify right side
    107,651.50x = 53,710,380,025
  5. Step 5: Solve for x
    x = 53,710,380,025/107,651.50
  6. Step 6: Final answer
    x = 498,928.30

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.