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Finding the Third Proportional to 120,151.69 and 259,576.31

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Solution

The third proportional to 120,151.69 and 259,576.31 is: 560,789.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,151.69 : 259,576.31 = 259,576.31 : x
  2. Step 2: Convert to fraction form
    120,151.69/259,576.31 = 259,576.31/x
  3. Step 3: Cross multiply
    120,151.69x = 259,576.31 × 259,576.31
  4. Step 4: Simplify right side
    120,151.69x = 67,379,862,011.10
  5. Step 5: Solve for x
    x = 67,379,862,011.10/120,151.69
  6. Step 6: Final answer
    x = 560,789.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.