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Finding the Third Proportional to 149,717.25 and 220,200.75

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Solution

The third proportional to 149,717.25 and 220,200.75 is: 323,866.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,717.25 : 220,200.75 = 220,200.75 : x
  2. Step 2: Convert to fraction form
    149,717.25/220,200.75 = 220,200.75/x
  3. Step 3: Cross multiply
    149,717.25x = 220,200.75 × 220,200.75
  4. Step 4: Simplify right side
    149,717.25x = 48,488,370,300.56
  5. Step 5: Solve for x
    x = 48,488,370,300.56/149,717.25
  6. Step 6: Final answer
    x = 323,866.29

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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.