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Finding the Third Proportional to 94.73 and 204.05

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Solution

The third proportional to 94.73 and 204.05 is: 439.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.73 : 204.05 = 204.05 : x
  2. Step 2: Convert to fraction form
    94.73/204.05 = 204.05/x
  3. Step 3: Cross multiply
    94.73x = 204.05 × 204.05
  4. Step 4: Simplify right side
    94.73x = 41,635.13
  5. Step 5: Solve for x
    x = 41,635.13/94.73
  6. Step 6: Final answer
    x = 439.49

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Why These Related Problems?

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