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Finding the Third Proportional to 205.50 and 493.88

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Solution

The third proportional to 205.50 and 493.88 is: 1,186.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.50 : 493.88 = 493.88 : x
  2. Step 2: Convert to fraction form
    205.50/493.88 = 493.88/x
  3. Step 3: Cross multiply
    205.50x = 493.88 × 493.88
  4. Step 4: Simplify right side
    205.50x = 243,912.52
  5. Step 5: Solve for x
    x = 243,912.52/205.50
  6. Step 6: Final answer
    x = 1,186.92

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.