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Finding the Third Proportional to 138,200 and 220,012

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Solution

The third proportional to 138,200 and 220,012 is: 350,255.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,200 : 220,012 = 220,012 : x
  2. Step 2: Convert to fraction form
    138,200/220,012 = 220,012/x
  3. Step 3: Cross multiply
    138,200x = 220,012 × 220,012
  4. Step 4: Simplify right side
    138,200x = 48,405,280,144
  5. Step 5: Solve for x
    x = 48,405,280,144/138,200
  6. Step 6: Final answer
    x = 350,255.28

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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.