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Finding the Third Proportional to 168,050 and 363,204

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Solution

The third proportional to 168,050 and 363,204 is: 784,987.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,050 : 363,204 = 363,204 : x
  2. Step 2: Convert to fraction form
    168,050/363,204 = 363,204/x
  3. Step 3: Cross multiply
    168,050x = 363,204 × 363,204
  4. Step 4: Simplify right side
    168,050x = 131,917,145,616
  5. Step 5: Solve for x
    x = 131,917,145,616/168,050
  6. Step 6: Final answer
    x = 784,987.48

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.