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Finding the Third Proportional to 263.69 and 310.06

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Solution

The third proportional to 263.69 and 310.06 is: 364.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.69 : 310.06 = 310.06 : x
  2. Step 2: Convert to fraction form
    263.69/310.06 = 310.06/x
  3. Step 3: Cross multiply
    263.69x = 310.06 × 310.06
  4. Step 4: Simplify right side
    263.69x = 96,138.75
  5. Step 5: Solve for x
    x = 96,138.75/263.69
  6. Step 6: Final answer
    x = 364.59

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.