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Finding the Third Proportional to 206,624.25 and 319,287

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Solution

The third proportional to 206,624.25 and 319,287 is: 493,379.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,624.25 : 319,287 = 319,287 : x
  2. Step 2: Convert to fraction form
    206,624.25/319,287 = 319,287/x
  3. Step 3: Cross multiply
    206,624.25x = 319,287 × 319,287
  4. Step 4: Simplify right side
    206,624.25x = 101,944,188,369
  5. Step 5: Solve for x
    x = 101,944,188,369/206,624.25
  6. Step 6: Final answer
    x = 493,379.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.