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Finding the Third Proportional to 82,578 and 180,908

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Solution

The third proportional to 82,578 and 180,908 is: 396,324.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,578 : 180,908 = 180,908 : x
  2. Step 2: Convert to fraction form
    82,578/180,908 = 180,908/x
  3. Step 3: Cross multiply
    82,578x = 180,908 × 180,908
  4. Step 4: Simplify right side
    82,578x = 32,727,704,464
  5. Step 5: Solve for x
    x = 32,727,704,464/82,578
  6. Step 6: Final answer
    x = 396,324.74

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.