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Finding the Third Proportional to 152.82 and 335.55

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Solution

The third proportional to 152.82 and 335.55 is: 736.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.82 : 335.55 = 335.55 : x
  2. Step 2: Convert to fraction form
    152.82/335.55 = 335.55/x
  3. Step 3: Cross multiply
    152.82x = 335.55 × 335.55
  4. Step 4: Simplify right side
    152.82x = 112,593.02
  5. Step 5: Solve for x
    x = 112,593.02/152.82
  6. Step 6: Final answer
    x = 736.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.