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Finding the Third Proportional to 102.25 and 224.75

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Solution

The third proportional to 102.25 and 224.75 is: 494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.25 : 224.75 = 224.75 : x
  2. Step 2: Convert to fraction form
    102.25/224.75 = 224.75/x
  3. Step 3: Cross multiply
    102.25x = 224.75 × 224.75
  4. Step 4: Simplify right side
    102.25x = 50,512.56
  5. Step 5: Solve for x
    x = 50,512.56/102.25
  6. Step 6: Final answer
    x = 494.01

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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.