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Finding the Third Proportional to 168,194 and 252,993

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Solution

The third proportional to 168,194 and 252,993 is: 380,545.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,194 : 252,993 = 252,993 : x
  2. Step 2: Convert to fraction form
    168,194/252,993 = 252,993/x
  3. Step 3: Cross multiply
    168,194x = 252,993 × 252,993
  4. Step 4: Simplify right side
    168,194x = 64,005,458,049
  5. Step 5: Solve for x
    x = 64,005,458,049/168,194
  6. Step 6: Final answer
    x = 380,545.43

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