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Finding the Third Proportional to 205,206.75 and 327,815.25

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Solution

The third proportional to 205,206.75 and 327,815.25 is: 523,680.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,206.75 : 327,815.25 = 327,815.25 : x
  2. Step 2: Convert to fraction form
    205,206.75/327,815.25 = 327,815.25/x
  3. Step 3: Cross multiply
    205,206.75x = 327,815.25 × 327,815.25
  4. Step 4: Simplify right side
    205,206.75x = 107,462,838,132.56
  5. Step 5: Solve for x
    x = 107,462,838,132.56/205,206.75
  6. Step 6: Final answer
    x = 523,680.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.