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Finding the Third Proportional to 220,107 and 294,825

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Solution

The third proportional to 220,107 and 294,825 is: 394,906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,107 : 294,825 = 294,825 : x
  2. Step 2: Convert to fraction form
    220,107/294,825 = 294,825/x
  3. Step 3: Cross multiply
    220,107x = 294,825 × 294,825
  4. Step 4: Simplify right side
    220,107x = 86,921,780,625
  5. Step 5: Solve for x
    x = 86,921,780,625/220,107
  6. Step 6: Final answer
    x = 394,906.93

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.