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Finding the Third Proportional to 102.19 and 232.97

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Solution

The third proportional to 102.19 and 232.97 is: 531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.19 : 232.97 = 232.97 : x
  2. Step 2: Convert to fraction form
    102.19/232.97 = 232.97/x
  3. Step 3: Cross multiply
    102.19x = 232.97 × 232.97
  4. Step 4: Simplify right side
    102.19x = 54,274.44
  5. Step 5: Solve for x
    x = 54,274.44/102.19
  6. Step 6: Final answer
    x = 531.13

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.