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Finding the Third Proportional to 211.36 and 311.34

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Solution

The third proportional to 211.36 and 311.34 is: 458.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.36 : 311.34 = 311.34 : x
  2. Step 2: Convert to fraction form
    211.36/311.34 = 311.34/x
  3. Step 3: Cross multiply
    211.36x = 311.34 × 311.34
  4. Step 4: Simplify right side
    211.36x = 96,934.93
  5. Step 5: Solve for x
    x = 96,934.93/211.36
  6. Step 6: Final answer
    x = 458.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.