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Finding the Third Proportional to 206 and 349

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Solution

The third proportional to 206 and 349 is: 591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 349 = 349 : x
  2. Step 2: Convert to fraction form
    206/349 = 349/x
  3. Step 3: Cross multiply
    206x = 349 × 349
  4. Step 4: Simplify right side
    206x = 121,801
  5. Step 5: Solve for x
    x = 121,801/206
  6. Step 6: Final answer
    x = 591.27

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These problems maintain the same ratio (1.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.