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Finding the Third Proportional to 168,192 and 252,990

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Solution

The third proportional to 168,192 and 252,990 is: 380,540.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,192 : 252,990 = 252,990 : x
  2. Step 2: Convert to fraction form
    168,192/252,990 = 252,990/x
  3. Step 3: Cross multiply
    168,192x = 252,990 × 252,990
  4. Step 4: Simplify right side
    168,192x = 64,003,940,100
  5. Step 5: Solve for x
    x = 64,003,940,100/168,192
  6. Step 6: Final answer
    x = 380,540.93

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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.