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Finding the Third Proportional to 206,456.50 and 301,717.50

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Solution

The third proportional to 206,456.50 and 301,717.50 is: 440,932.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,456.50 : 301,717.50 = 301,717.50 : x
  2. Step 2: Convert to fraction form
    206,456.50/301,717.50 = 301,717.50/x
  3. Step 3: Cross multiply
    206,456.50x = 301,717.50 × 301,717.50
  4. Step 4: Simplify right side
    206,456.50x = 91,033,449,806.25
  5. Step 5: Solve for x
    x = 91,033,449,806.25/206,456.50
  6. Step 6: Final answer
    x = 440,932.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.