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Finding the Third Proportional to 181,441.13 and 280,473.75

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Solution

The third proportional to 181,441.13 and 280,473.75 is: 433,559.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,441.13 : 280,473.75 = 280,473.75 : x
  2. Step 2: Convert to fraction form
    181,441.13/280,473.75 = 280,473.75/x
  3. Step 3: Cross multiply
    181,441.13x = 280,473.75 × 280,473.75
  4. Step 4: Simplify right side
    181,441.13x = 78,665,524,439.06
  5. Step 5: Solve for x
    x = 78,665,524,439.06/181,441.13
  6. Step 6: Final answer
    x = 433,559.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.