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Finding the Third Proportional to 168,957 and 252,936

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Solution

The third proportional to 168,957 and 252,936 is: 378,656.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,957 : 252,936 = 252,936 : x
  2. Step 2: Convert to fraction form
    168,957/252,936 = 252,936/x
  3. Step 3: Cross multiply
    168,957x = 252,936 × 252,936
  4. Step 4: Simplify right side
    168,957x = 63,976,620,096
  5. Step 5: Solve for x
    x = 63,976,620,096/168,957
  6. Step 6: Final answer
    x = 378,656.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.