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Finding the Third Proportional to 150,997.50 and 222,115.50

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Solution

The third proportional to 150,997.50 and 222,115.50 is: 326,729.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,997.50 : 222,115.50 = 222,115.50 : x
  2. Step 2: Convert to fraction form
    150,997.50/222,115.50 = 222,115.50/x
  3. Step 3: Cross multiply
    150,997.50x = 222,115.50 × 222,115.50
  4. Step 4: Simplify right side
    150,997.50x = 49,335,295,340.25
  5. Step 5: Solve for x
    x = 49,335,295,340.25/150,997.50
  6. Step 6: Final answer
    x = 326,729.22

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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.