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Finding the Third Proportional to 213.57 and 311.82

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Solution

The third proportional to 213.57 and 311.82 is: 455.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.57 : 311.82 = 311.82 : x
  2. Step 2: Convert to fraction form
    213.57/311.82 = 311.82/x
  3. Step 3: Cross multiply
    213.57x = 311.82 × 311.82
  4. Step 4: Simplify right side
    213.57x = 97,230.69
  5. Step 5: Solve for x
    x = 97,230.69/213.57
  6. Step 6: Final answer
    x = 455.25

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.