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Finding the Third Proportional to 102 and 268

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Solution

The third proportional to 102 and 268 is: 704.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    102 : 268 = 268 : x
  2. Step 2: Convert to fraction form
    102/268 = 268/x
  3. Step 3: Cross multiply
    102x = 268 × 268
  4. Step 4: Simplify right side
    102x = 71,824
  5. Step 5: Solve for x
    x = 71,824/102
  6. Step 6: Final answer
    x = 704.16

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.