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Finding the Third Proportional to 150,540.94 and 220,158.94

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Solution

The third proportional to 150,540.94 and 220,158.94 is: 321,971.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,540.94 : 220,158.94 = 220,158.94 : x
  2. Step 2: Convert to fraction form
    150,540.94/220,158.94 = 220,158.94/x
  3. Step 3: Cross multiply
    150,540.94x = 220,158.94 × 220,158.94
  4. Step 4: Simplify right side
    150,540.94x = 48,469,957,761.13
  5. Step 5: Solve for x
    x = 48,469,957,761.13/150,540.94
  6. Step 6: Final answer
    x = 321,971.94

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.