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Finding the Third Proportional to 131,046.75 and 280,791

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Solution

The third proportional to 131,046.75 and 280,791 is: 601,644.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,046.75 : 280,791 = 280,791 : x
  2. Step 2: Convert to fraction form
    131,046.75/280,791 = 280,791/x
  3. Step 3: Cross multiply
    131,046.75x = 280,791 × 280,791
  4. Step 4: Simplify right side
    131,046.75x = 78,843,585,681
  5. Step 5: Solve for x
    x = 78,843,585,681/131,046.75
  6. Step 6: Final answer
    x = 601,644.72

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.