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Finding the Third Proportional to 94.92 and 200.29

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Solution

The third proportional to 94.92 and 200.29 is: 422.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    94.92 : 200.29 = 200.29 : x
  2. Step 2: Convert to fraction form
    94.92/200.29 = 200.29/x
  3. Step 3: Cross multiply
    94.92x = 200.29 × 200.29
  4. Step 4: Simplify right side
    94.92x = 40,114.14
  5. Step 5: Solve for x
    x = 40,114.14/94.92
  6. Step 6: Final answer
    x = 422.60

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.