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Finding the Third Proportional to 126,382.50 and 268,350.75

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Solution

The third proportional to 126,382.50 and 268,350.75 is: 569,795.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,382.50 : 268,350.75 = 268,350.75 : x
  2. Step 2: Convert to fraction form
    126,382.50/268,350.75 = 268,350.75/x
  3. Step 3: Cross multiply
    126,382.50x = 268,350.75 × 268,350.75
  4. Step 4: Simplify right side
    126,382.50x = 72,012,125,025.56
  5. Step 5: Solve for x
    x = 72,012,125,025.56/126,382.50
  6. Step 6: Final answer
    x = 569,795.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.