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Finding the Third Proportional to 188,406 and 396,171

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Solution

The third proportional to 188,406 and 396,171 is: 833,049.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,406 : 396,171 = 396,171 : x
  2. Step 2: Convert to fraction form
    188,406/396,171 = 396,171/x
  3. Step 3: Cross multiply
    188,406x = 396,171 × 396,171
  4. Step 4: Simplify right side
    188,406x = 156,951,461,241
  5. Step 5: Solve for x
    x = 156,951,461,241/188,406
  6. Step 6: Final answer
    x = 833,049.17

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.