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Finding the Third Proportional to 165,644 and 220,692

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Solution

The third proportional to 165,644 and 220,692 is: 294,033.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,644 : 220,692 = 220,692 : x
  2. Step 2: Convert to fraction form
    165,644/220,692 = 220,692/x
  3. Step 3: Cross multiply
    165,644x = 220,692 × 220,692
  4. Step 4: Simplify right side
    165,644x = 48,704,958,864
  5. Step 5: Solve for x
    x = 48,704,958,864/165,644
  6. Step 6: Final answer
    x = 294,033.95

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.