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Finding the Third Proportional to 168,548 and 356,104

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Solution

The third proportional to 168,548 and 356,104 is: 752,367.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,548 : 356,104 = 356,104 : x
  2. Step 2: Convert to fraction form
    168,548/356,104 = 356,104/x
  3. Step 3: Cross multiply
    168,548x = 356,104 × 356,104
  4. Step 4: Simplify right side
    168,548x = 126,810,058,816
  5. Step 5: Solve for x
    x = 126,810,058,816/168,548
  6. Step 6: Final answer
    x = 752,367.63

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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.