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Finding the Third Proportional to 206,246.75 and 328,182.50

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Solution

The third proportional to 206,246.75 and 328,182.50 is: 522,208.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,246.75 : 328,182.50 = 328,182.50 : x
  2. Step 2: Convert to fraction form
    206,246.75/328,182.50 = 328,182.50/x
  3. Step 3: Cross multiply
    206,246.75x = 328,182.50 × 328,182.50
  4. Step 4: Simplify right side
    206,246.75x = 107,703,753,306.25
  5. Step 5: Solve for x
    x = 107,703,753,306.25/206,246.75
  6. Step 6: Final answer
    x = 522,208.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.