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Finding the Third Proportional to 150,538.69 and 220,155.56

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Solution

The third proportional to 150,538.69 and 220,155.56 is: 321,966.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,538.69 : 220,155.56 = 220,155.56 : x
  2. Step 2: Convert to fraction form
    150,538.69/220,155.56 = 220,155.56/x
  3. Step 3: Cross multiply
    150,538.69x = 220,155.56 × 220,155.56
  4. Step 4: Simplify right side
    150,538.69x = 48,468,471,699.69
  5. Step 5: Solve for x
    x = 48,468,471,699.69/150,538.69
  6. Step 6: Final answer
    x = 321,966.88

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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.