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Finding the Third Proportional to 211.78 and 451.69

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Solution

The third proportional to 211.78 and 451.69 is: 963.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.78 : 451.69 = 451.69 : x
  2. Step 2: Convert to fraction form
    211.78/451.69 = 451.69/x
  3. Step 3: Cross multiply
    211.78x = 451.69 × 451.69
  4. Step 4: Simplify right side
    211.78x = 204,021.60
  5. Step 5: Solve for x
    x = 204,021.60/211.78
  6. Step 6: Final answer
    x = 963.36

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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.