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Finding the Third Proportional to 231 and 248

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Solution

The third proportional to 231 and 248 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    231 : 248 = 248 : x
  2. Step 2: Convert to fraction form
    231/248 = 248/x
  3. Step 3: Cross multiply
    231x = 248 × 248
  4. Step 4: Simplify right side
    231x = 61,504
  5. Step 5: Solve for x
    x = 61,504/231
  6. Step 6: Final answer
    x = 266.25

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.