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Finding the Third Proportional to 152,694 and 327,960

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Solution

The third proportional to 152,694 and 327,960 is: 704,400.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,694 : 327,960 = 327,960 : x
  2. Step 2: Convert to fraction form
    152,694/327,960 = 327,960/x
  3. Step 3: Cross multiply
    152,694x = 327,960 × 327,960
  4. Step 4: Simplify right side
    152,694x = 107,557,761,600
  5. Step 5: Solve for x
    x = 107,557,761,600/152,694
  6. Step 6: Final answer
    x = 704,400.71

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.