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Finding the Third Proportional to 131,689.25 and 283,351.75

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Solution

The third proportional to 131,689.25 and 283,351.75 is: 609,679.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,689.25 : 283,351.75 = 283,351.75 : x
  2. Step 2: Convert to fraction form
    131,689.25/283,351.75 = 283,351.75/x
  3. Step 3: Cross multiply
    131,689.25x = 283,351.75 × 283,351.75
  4. Step 4: Simplify right side
    131,689.25x = 80,288,214,228.06
  5. Step 5: Solve for x
    x = 80,288,214,228.06/131,689.25
  6. Step 6: Final answer
    x = 609,679.33

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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.