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Finding the Third Proportional to 206,462.25 and 319,081.75

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Solution

The third proportional to 206,462.25 and 319,081.75 is: 493,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,462.25 : 319,081.75 = 319,081.75 : x
  2. Step 2: Convert to fraction form
    206,462.25/319,081.75 = 319,081.75/x
  3. Step 3: Cross multiply
    206,462.25x = 319,081.75 × 319,081.75
  4. Step 4: Simplify right side
    206,462.25x = 101,813,163,183.06
  5. Step 5: Solve for x
    x = 101,813,163,183.06/206,462.25
  6. Step 6: Final answer
    x = 493,132.10

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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.