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Finding the Third Proportional to 165,204 and 229,860

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Solution

The third proportional to 165,204 and 229,860 is: 319,820.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,204 : 229,860 = 229,860 : x
  2. Step 2: Convert to fraction form
    165,204/229,860 = 229,860/x
  3. Step 3: Cross multiply
    165,204x = 229,860 × 229,860
  4. Step 4: Simplify right side
    165,204x = 52,835,619,600
  5. Step 5: Solve for x
    x = 52,835,619,600/165,204
  6. Step 6: Final answer
    x = 319,820.46

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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.