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Finding the Third Proportional to 150,557.06 and 220,179.94

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Solution

The third proportional to 150,557.06 and 220,179.94 is: 321,998.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,557.06 : 220,179.94 = 220,179.94 : x
  2. Step 2: Convert to fraction form
    150,557.06/220,179.94 = 220,179.94/x
  3. Step 3: Cross multiply
    150,557.06x = 220,179.94 × 220,179.94
  4. Step 4: Simplify right side
    150,557.06x = 48,479,204,877.50
  5. Step 5: Solve for x
    x = 48,479,204,877.50/150,557.06
  6. Step 6: Final answer
    x = 321,998.88

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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.