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Finding the Third Proportional to 138.56 and 211.31

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Solution

The third proportional to 138.56 and 211.31 is: 322.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    138.56 : 211.31 = 211.31 : x
  2. Step 2: Convert to fraction form
    138.56/211.31 = 211.31/x
  3. Step 3: Cross multiply
    138.56x = 211.31 × 211.31
  4. Step 4: Simplify right side
    138.56x = 44,652.97
  5. Step 5: Solve for x
    x = 44,652.97/138.56
  6. Step 6: Final answer
    x = 322.26

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.