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Finding the Third Proportional to 101,967 and 220,734

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Solution

The third proportional to 101,967 and 220,734 is: 477,835.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,967 : 220,734 = 220,734 : x
  2. Step 2: Convert to fraction form
    101,967/220,734 = 220,734/x
  3. Step 3: Cross multiply
    101,967x = 220,734 × 220,734
  4. Step 4: Simplify right side
    101,967x = 48,723,498,756
  5. Step 5: Solve for x
    x = 48,723,498,756/101,967
  6. Step 6: Final answer
    x = 477,835.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.