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Finding the Third Proportional to 204.82 and 443.81

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Solution

The third proportional to 204.82 and 443.81 is: 961.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.82 : 443.81 = 443.81 : x
  2. Step 2: Convert to fraction form
    204.82/443.81 = 443.81/x
  3. Step 3: Cross multiply
    204.82x = 443.81 × 443.81
  4. Step 4: Simplify right side
    204.82x = 196,969.54
  5. Step 5: Solve for x
    x = 196,969.54/204.82
  6. Step 6: Final answer
    x = 961.67

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.