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Finding the Third Proportional to 208 and 242

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Solution

The third proportional to 208 and 242 is: 281.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208 : 242 = 242 : x
  2. Step 2: Convert to fraction form
    208/242 = 242/x
  3. Step 3: Cross multiply
    208x = 242 × 242
  4. Step 4: Simplify right side
    208x = 58,564
  5. Step 5: Solve for x
    x = 58,564/208
  6. Step 6: Final answer
    x = 281.56

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.