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Finding the Third Proportional to 263.75 and 292.25

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Solution

The third proportional to 263.75 and 292.25 is: 323.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.75 : 292.25 = 292.25 : x
  2. Step 2: Convert to fraction form
    263.75/292.25 = 292.25/x
  3. Step 3: Cross multiply
    263.75x = 292.25 × 292.25
  4. Step 4: Simplify right side
    263.75x = 85,410.06
  5. Step 5: Solve for x
    x = 85,410.06/263.75
  6. Step 6: Final answer
    x = 323.83

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.