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Finding the Third Proportional to 100,408.50 and 150,617.25

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Solution

The third proportional to 100,408.50 and 150,617.25 is: 225,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,408.50 : 150,617.25 = 150,617.25 : x
  2. Step 2: Convert to fraction form
    100,408.50/150,617.25 = 150,617.25/x
  3. Step 3: Cross multiply
    100,408.50x = 150,617.25 × 150,617.25
  4. Step 4: Simplify right side
    100,408.50x = 22,685,555,997.56
  5. Step 5: Solve for x
    x = 22,685,555,997.56/100,408.50
  6. Step 6: Final answer
    x = 225,932.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.