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Finding the Third Proportional to 181,656 and 396,006

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Solution

The third proportional to 181,656 and 396,006 is: 863,284.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,656 : 396,006 = 396,006 : x
  2. Step 2: Convert to fraction form
    181,656/396,006 = 396,006/x
  3. Step 3: Cross multiply
    181,656x = 396,006 × 396,006
  4. Step 4: Simplify right side
    181,656x = 156,820,752,036
  5. Step 5: Solve for x
    x = 156,820,752,036/181,656
  6. Step 6: Final answer
    x = 863,284.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.