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Finding the Third Proportional to 263 and 314

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Solution

The third proportional to 263 and 314 is: 374.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    263 : 314 = 314 : x
  2. Step 2: Convert to fraction form
    263/314 = 314/x
  3. Step 3: Cross multiply
    263x = 314 × 314
  4. Step 4: Simplify right side
    263x = 98,596
  5. Step 5: Solve for x
    x = 98,596/263
  6. Step 6: Final answer
    x = 374.89

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Why These Related Problems?

These problems maintain the same ratio (1.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.