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Finding the Third Proportional to 205.88 and 331.56

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Solution

The third proportional to 205.88 and 331.56 is: 533.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.88 : 331.56 = 331.56 : x
  2. Step 2: Convert to fraction form
    205.88/331.56 = 331.56/x
  3. Step 3: Cross multiply
    205.88x = 331.56 × 331.56
  4. Step 4: Simplify right side
    205.88x = 109,933.69
  5. Step 5: Solve for x
    x = 109,933.69/205.88
  6. Step 6: Final answer
    x = 533.98

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.