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Finding the Third Proportional to 335.75 and 534.38

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Solution

The third proportional to 335.75 and 534.38 is: 850.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.75 : 534.38 = 534.38 : x
  2. Step 2: Convert to fraction form
    335.75/534.38 = 534.38/x
  3. Step 3: Cross multiply
    335.75x = 534.38 × 534.38
  4. Step 4: Simplify right side
    335.75x = 285,556.64
  5. Step 5: Solve for x
    x = 285,556.64/335.75
  6. Step 6: Final answer
    x = 850.50

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.