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Finding the Third Proportional to 188,568 and 396,524

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Solution

The third proportional to 188,568 and 396,524 is: 833,817.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,568 : 396,524 = 396,524 : x
  2. Step 2: Convert to fraction form
    188,568/396,524 = 396,524/x
  3. Step 3: Cross multiply
    188,568x = 396,524 × 396,524
  4. Step 4: Simplify right side
    188,568x = 157,231,282,576
  5. Step 5: Solve for x
    x = 157,231,282,576/188,568
  6. Step 6: Final answer
    x = 833,817.42

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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.