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Finding the Third Proportional to 220,800 and 350,204

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Solution

The third proportional to 220,800 and 350,204 is: 555,447.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,800 : 350,204 = 350,204 : x
  2. Step 2: Convert to fraction form
    220,800/350,204 = 350,204/x
  3. Step 3: Cross multiply
    220,800x = 350,204 × 350,204
  4. Step 4: Simplify right side
    220,800x = 122,642,841,616
  5. Step 5: Solve for x
    x = 122,642,841,616/220,800
  6. Step 6: Final answer
    x = 555,447.65

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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.