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Finding the Third Proportional to 165,750 and 262,874

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Solution

The third proportional to 165,750 and 262,874 is: 416,909.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,750 : 262,874 = 262,874 : x
  2. Step 2: Convert to fraction form
    165,750/262,874 = 262,874/x
  3. Step 3: Cross multiply
    165,750x = 262,874 × 262,874
  4. Step 4: Simplify right side
    165,750x = 69,102,739,876
  5. Step 5: Solve for x
    x = 69,102,739,876/165,750
  6. Step 6: Final answer
    x = 416,909.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.