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Finding the Third Proportional to 211.25 and 439.31

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Solution

The third proportional to 211.25 and 439.31 is: 913.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.25 : 439.31 = 439.31 : x
  2. Step 2: Convert to fraction form
    211.25/439.31 = 439.31/x
  3. Step 3: Cross multiply
    211.25x = 439.31 × 439.31
  4. Step 4: Simplify right side
    211.25x = 192,995.47
  5. Step 5: Solve for x
    x = 192,995.47/211.25
  6. Step 6: Final answer
    x = 913.59

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.