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Finding the Third Proportional to 296 and 399

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Solution

The third proportional to 296 and 399 is: 537.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    296 : 399 = 399 : x
  2. Step 2: Convert to fraction form
    296/399 = 399/x
  3. Step 3: Cross multiply
    296x = 399 × 399
  4. Step 4: Simplify right side
    296x = 159,201
  5. Step 5: Solve for x
    x = 159,201/296
  6. Step 6: Final answer
    x = 537.84

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.