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Finding the Third Proportional to 206,422.25 and 319,026.75

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Solution

The third proportional to 206,422.25 and 319,026.75 is: 493,057.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,422.25 : 319,026.75 = 319,026.75 : x
  2. Step 2: Convert to fraction form
    206,422.25/319,026.75 = 319,026.75/x
  3. Step 3: Cross multiply
    206,422.25x = 319,026.75 × 319,026.75
  4. Step 4: Simplify right side
    206,422.25x = 101,778,067,215.56
  5. Step 5: Solve for x
    x = 101,778,067,215.56/206,422.25
  6. Step 6: Final answer
    x = 493,057.64

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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.