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Finding the Third Proportional to 108.21 and 238.10

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Solution

The third proportional to 108.21 and 238.10 is: 523.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.21 : 238.10 = 238.10 : x
  2. Step 2: Convert to fraction form
    108.21/238.10 = 238.10/x
  3. Step 3: Cross multiply
    108.21x = 238.10 × 238.10
  4. Step 4: Simplify right side
    108.21x = 56,689.56
  5. Step 5: Solve for x
    x = 56,689.56/108.21
  6. Step 6: Final answer
    x = 523.88

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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.