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Finding the Third Proportional to 131,727.09 and 284,190.19

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Solution

The third proportional to 131,727.09 and 284,190.19 is: 613,116.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,727.09 : 284,190.19 = 284,190.19 : x
  2. Step 2: Convert to fraction form
    131,727.09/284,190.19 = 284,190.19/x
  3. Step 3: Cross multiply
    131,727.09x = 284,190.19 × 284,190.19
  4. Step 4: Simplify right side
    131,727.09x = 80,764,062,671.29
  5. Step 5: Solve for x
    x = 80,764,062,671.29/131,727.09
  6. Step 6: Final answer
    x = 613,116.56

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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.