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Finding the Third Proportional to 257 and 266

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Solution

The third proportional to 257 and 266 is: 275.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    257 : 266 = 266 : x
  2. Step 2: Convert to fraction form
    257/266 = 266/x
  3. Step 3: Cross multiply
    257x = 266 × 266
  4. Step 4: Simplify right side
    257x = 70,756
  5. Step 5: Solve for x
    x = 70,756/257
  6. Step 6: Final answer
    x = 275.32

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These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.