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Finding the Third Proportional to 168,544 and 356,096

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Solution

The third proportional to 168,544 and 356,096 is: 752,351.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,544 : 356,096 = 356,096 : x
  2. Step 2: Convert to fraction form
    168,544/356,096 = 356,096/x
  3. Step 3: Cross multiply
    168,544x = 356,096 × 356,096
  4. Step 4: Simplify right side
    168,544x = 126,804,361,216
  5. Step 5: Solve for x
    x = 126,804,361,216/168,544
  6. Step 6: Final answer
    x = 752,351.68

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.