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Finding the Third Proportional to 206,472 and 315,630

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Solution

The third proportional to 206,472 and 315,630 is: 482,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,472 : 315,630 = 315,630 : x
  2. Step 2: Convert to fraction form
    206,472/315,630 = 315,630/x
  3. Step 3: Cross multiply
    206,472x = 315,630 × 315,630
  4. Step 4: Simplify right side
    206,472x = 99,622,296,900
  5. Step 5: Solve for x
    x = 99,622,296,900/206,472
  6. Step 6: Final answer
    x = 482,497.85

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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.