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Finding the Third Proportional to 323 and 368

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Solution

The third proportional to 323 and 368 is: 419.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    323 : 368 = 368 : x
  2. Step 2: Convert to fraction form
    323/368 = 368/x
  3. Step 3: Cross multiply
    323x = 368 × 368
  4. Step 4: Simplify right side
    323x = 135,424
  5. Step 5: Solve for x
    x = 135,424/323
  6. Step 6: Final answer
    x = 419.27

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.