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Finding the Third Proportional to 126,382.50 and 274,908.75

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Solution

The third proportional to 126,382.50 and 274,908.75 is: 597,984.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,382.50 : 274,908.75 = 274,908.75 : x
  2. Step 2: Convert to fraction form
    126,382.50/274,908.75 = 274,908.75/x
  3. Step 3: Cross multiply
    126,382.50x = 274,908.75 × 274,908.75
  4. Step 4: Simplify right side
    126,382.50x = 75,574,820,826.56
  5. Step 5: Solve for x
    x = 75,574,820,826.56/126,382.50
  6. Step 6: Final answer
    x = 597,984.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.