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Finding the Third Proportional to 258,162.75 and 394,638.75

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Solution

The third proportional to 258,162.75 and 394,638.75 is: 603,261.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,162.75 : 394,638.75 = 394,638.75 : x
  2. Step 2: Convert to fraction form
    258,162.75/394,638.75 = 394,638.75/x
  3. Step 3: Cross multiply
    258,162.75x = 394,638.75 × 394,638.75
  4. Step 4: Simplify right side
    258,162.75x = 155,739,743,001.56
  5. Step 5: Solve for x
    x = 155,739,743,001.56/258,162.75
  6. Step 6: Final answer
    x = 603,261.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.