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Finding the Third Proportional to 168,568 and 383,902

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Solution

The third proportional to 168,568 and 383,902 is: 874,310.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,568 : 383,902 = 383,902 : x
  2. Step 2: Convert to fraction form
    168,568/383,902 = 383,902/x
  3. Step 3: Cross multiply
    168,568x = 383,902 × 383,902
  4. Step 4: Simplify right side
    168,568x = 147,380,745,604
  5. Step 5: Solve for x
    x = 147,380,745,604/168,568
  6. Step 6: Final answer
    x = 874,310.34

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.