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Finding the Third Proportional to 206 and 493.25

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Solution

The third proportional to 206 and 493.25 is: 1,181.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 493.25 = 493.25 : x
  2. Step 2: Convert to fraction form
    206/493.25 = 493.25/x
  3. Step 3: Cross multiply
    206x = 493.25 × 493.25
  4. Step 4: Simplify right side
    206x = 243,295.56
  5. Step 5: Solve for x
    x = 243,295.56/206
  6. Step 6: Final answer
    x = 1,181.05

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.