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Finding the Third Proportional to 102.19 and 227.44

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Solution

The third proportional to 102.19 and 227.44 is: 506.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.19 : 227.44 = 227.44 : x
  2. Step 2: Convert to fraction form
    102.19/227.44 = 227.44/x
  3. Step 3: Cross multiply
    102.19x = 227.44 × 227.44
  4. Step 4: Simplify right side
    102.19x = 51,727.82
  5. Step 5: Solve for x
    x = 51,727.82/102.19
  6. Step 6: Final answer
    x = 506.20

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.