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Finding the Third Proportional to 329 and 367

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Solution

The third proportional to 329 and 367 is: 409.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    329 : 367 = 367 : x
  2. Step 2: Convert to fraction form
    329/367 = 367/x
  3. Step 3: Cross multiply
    329x = 367 × 367
  4. Step 4: Simplify right side
    329x = 134,689
  5. Step 5: Solve for x
    x = 134,689/329
  6. Step 6: Final answer
    x = 409.39

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.