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Finding the Third Proportional to 131,892.75 and 283,767.75

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Solution

The third proportional to 131,892.75 and 283,767.75 is: 610,527.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,892.75 : 283,767.75 = 283,767.75 : x
  2. Step 2: Convert to fraction form
    131,892.75/283,767.75 = 283,767.75/x
  3. Step 3: Cross multiply
    131,892.75x = 283,767.75 × 283,767.75
  4. Step 4: Simplify right side
    131,892.75x = 80,524,135,940.06
  5. Step 5: Solve for x
    x = 80,524,135,940.06/131,892.75
  6. Step 6: Final answer
    x = 610,527.39

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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.