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Finding the Third Proportional to 162,786.38 and 338,046.75

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Solution

The third proportional to 162,786.38 and 338,046.75 is: 701,997.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,786.38 : 338,046.75 = 338,046.75 : x
  2. Step 2: Convert to fraction form
    162,786.38/338,046.75 = 338,046.75/x
  3. Step 3: Cross multiply
    162,786.38x = 338,046.75 × 338,046.75
  4. Step 4: Simplify right side
    162,786.38x = 114,275,605,185.56
  5. Step 5: Solve for x
    x = 114,275,605,185.56/162,786.38
  6. Step 6: Final answer
    x = 701,997.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.