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Finding the Third Proportional to 159,536.25 and 246,996.75

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Solution

The third proportional to 159,536.25 and 246,996.75 is: 382,404.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,536.25 : 246,996.75 = 246,996.75 : x
  2. Step 2: Convert to fraction form
    159,536.25/246,996.75 = 246,996.75/x
  3. Step 3: Cross multiply
    159,536.25x = 246,996.75 × 246,996.75
  4. Step 4: Simplify right side
    159,536.25x = 61,007,394,510.56
  5. Step 5: Solve for x
    x = 61,007,394,510.56/159,536.25
  6. Step 6: Final answer
    x = 382,404.59

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.