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Finding the Third Proportional to 182.91 and 211.31

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Solution

The third proportional to 182.91 and 211.31 is: 244.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.91 : 211.31 = 211.31 : x
  2. Step 2: Convert to fraction form
    182.91/211.31 = 211.31/x
  3. Step 3: Cross multiply
    182.91x = 211.31 × 211.31
  4. Step 4: Simplify right side
    182.91x = 44,652.97
  5. Step 5: Solve for x
    x = 44,652.97/182.91
  6. Step 6: Final answer
    x = 244.13

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.