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Finding the Third Proportional to 206 and 299

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Solution

The third proportional to 206 and 299 is: 433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    206 : 299 = 299 : x
  2. Step 2: Convert to fraction form
    206/299 = 299/x
  3. Step 3: Cross multiply
    206x = 299 × 299
  4. Step 4: Simplify right side
    206x = 89,401
  5. Step 5: Solve for x
    x = 89,401/206
  6. Step 6: Final answer
    x = 433.99

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.