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Finding the Third Proportional to 165,162 and 229,812

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Solution

The third proportional to 165,162 and 229,812 is: 319,768.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,162 : 229,812 = 229,812 : x
  2. Step 2: Convert to fraction form
    165,162/229,812 = 229,812/x
  3. Step 3: Cross multiply
    165,162x = 229,812 × 229,812
  4. Step 4: Simplify right side
    165,162x = 52,813,555,344
  5. Step 5: Solve for x
    x = 52,813,555,344/165,162
  6. Step 6: Final answer
    x = 319,768.20

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.