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Finding the Third Proportional to 206,425.69 and 315,793.69

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Solution

The third proportional to 206,425.69 and 315,793.69 is: 483,106.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,425.69 : 315,793.69 = 315,793.69 : x
  2. Step 2: Convert to fraction form
    206,425.69/315,793.69 = 315,793.69/x
  3. Step 3: Cross multiply
    206,425.69x = 315,793.69 × 315,793.69
  4. Step 4: Simplify right side
    206,425.69x = 99,725,653,064.85
  5. Step 5: Solve for x
    x = 99,725,653,064.85/206,425.69
  6. Step 6: Final answer
    x = 483,106.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.