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Finding the Third Proportional to 149,726 and 220,204

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Solution

The third proportional to 149,726 and 220,204 is: 323,856.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,726 : 220,204 = 220,204 : x
  2. Step 2: Convert to fraction form
    149,726/220,204 = 220,204/x
  3. Step 3: Cross multiply
    149,726x = 220,204 × 220,204
  4. Step 4: Simplify right side
    149,726x = 48,489,801,616
  5. Step 5: Solve for x
    x = 48,489,801,616/149,726
  6. Step 6: Final answer
    x = 323,856.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.