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Finding the Third Proportional to 206,382.75 and 275,205.75

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Solution

The third proportional to 206,382.75 and 275,205.75 is: 366,979.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,382.75 : 275,205.75 = 275,205.75 : x
  2. Step 2: Convert to fraction form
    206,382.75/275,205.75 = 275,205.75/x
  3. Step 3: Cross multiply
    206,382.75x = 275,205.75 × 275,205.75
  4. Step 4: Simplify right side
    206,382.75x = 75,738,204,833.06
  5. Step 5: Solve for x
    x = 75,738,204,833.06/206,382.75
  6. Step 6: Final answer
    x = 366,979.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.