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Finding the Third Proportional to 188,558 and 396,508

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Solution

The third proportional to 188,558 and 396,508 is: 833,794.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,558 : 396,508 = 396,508 : x
  2. Step 2: Convert to fraction form
    188,558/396,508 = 396,508/x
  3. Step 3: Cross multiply
    188,558x = 396,508 × 396,508
  4. Step 4: Simplify right side
    188,558x = 157,218,594,064
  5. Step 5: Solve for x
    x = 157,218,594,064/188,558
  6. Step 6: Final answer
    x = 833,794.34

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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.