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Finding the Third Proportional to 205.50 and 311.63

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Solution

The third proportional to 205.50 and 311.63 is: 472.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 311.63 = 311.63 : x
  2. Step 2: Convert to fraction form
    205.50/311.63 = 311.63/x
  3. Step 3: Cross multiply
    205.50x = 311.63 × 311.63
  4. Step 4: Simplify right side
    205.50x = 97,110.14
  5. Step 5: Solve for x
    x = 97,110.14/205.50
  6. Step 6: Final answer
    x = 472.56

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.