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Finding the Third Proportional to 92.81 and 204.29

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Solution

The third proportional to 92.81 and 204.29 is: 449.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.81 : 204.29 = 204.29 : x
  2. Step 2: Convert to fraction form
    92.81/204.29 = 204.29/x
  3. Step 3: Cross multiply
    92.81x = 204.29 × 204.29
  4. Step 4: Simplify right side
    92.81x = 41,735.62
  5. Step 5: Solve for x
    x = 41,735.62/92.81
  6. Step 6: Final answer
    x = 449.68

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Why These Related Problems?

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