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Finding the Third Proportional to 102.56 and 218.44

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Solution

The third proportional to 102.56 and 218.44 is: 465.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.56 : 218.44 = 218.44 : x
  2. Step 2: Convert to fraction form
    102.56/218.44 = 218.44/x
  3. Step 3: Cross multiply
    102.56x = 218.44 × 218.44
  4. Step 4: Simplify right side
    102.56x = 47,714.94
  5. Step 5: Solve for x
    x = 47,714.94/102.56
  6. Step 6: Final answer
    x = 465.23

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.