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Finding the Third Proportional to 82,116 and 180,396

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Solution

The third proportional to 82,116 and 180,396 is: 396,301.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,116 : 180,396 = 180,396 : x
  2. Step 2: Convert to fraction form
    82,116/180,396 = 180,396/x
  3. Step 3: Cross multiply
    82,116x = 180,396 × 180,396
  4. Step 4: Simplify right side
    82,116x = 32,542,716,816
  5. Step 5: Solve for x
    x = 32,542,716,816/82,116
  6. Step 6: Final answer
    x = 396,301.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.