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Finding the Third Proportional to 104,444 and 220,794

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Solution

The third proportional to 104,444 and 220,794 is: 466,757.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,444 : 220,794 = 220,794 : x
  2. Step 2: Convert to fraction form
    104,444/220,794 = 220,794/x
  3. Step 3: Cross multiply
    104,444x = 220,794 × 220,794
  4. Step 4: Simplify right side
    104,444x = 48,749,990,436
  5. Step 5: Solve for x
    x = 48,749,990,436/104,444
  6. Step 6: Final answer
    x = 466,757.21

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.