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Finding the Third Proportional to 206,740.13 and 313,227

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Solution

The third proportional to 206,740.13 and 313,227 is: 474,562.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,740.13 : 313,227 = 313,227 : x
  2. Step 2: Convert to fraction form
    206,740.13/313,227 = 313,227/x
  3. Step 3: Cross multiply
    206,740.13x = 313,227 × 313,227
  4. Step 4: Simplify right side
    206,740.13x = 98,111,153,529
  5. Step 5: Solve for x
    x = 98,111,153,529/206,740.13
  6. Step 6: Final answer
    x = 474,562.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.