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Finding the Third Proportional to 150,568.88 and 220,188.38

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Solution

The third proportional to 150,568.88 and 220,188.38 is: 321,998.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,568.88 : 220,188.38 = 220,188.38 : x
  2. Step 2: Convert to fraction form
    150,568.88/220,188.38 = 220,188.38/x
  3. Step 3: Cross multiply
    150,568.88x = 220,188.38 × 220,188.38
  4. Step 4: Simplify right side
    150,568.88x = 48,482,920,485.14
  5. Step 5: Solve for x
    x = 48,482,920,485.14/150,568.88
  6. Step 6: Final answer
    x = 321,998.29

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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.