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Finding the Third Proportional to 251.07 and 319.65

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Solution

The third proportional to 251.07 and 319.65 is: 406.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.07 : 319.65 = 319.65 : x
  2. Step 2: Convert to fraction form
    251.07/319.65 = 319.65/x
  3. Step 3: Cross multiply
    251.07x = 319.65 × 319.65
  4. Step 4: Simplify right side
    251.07x = 102,175.75
  5. Step 5: Solve for x
    x = 102,175.75/251.07
  6. Step 6: Final answer
    x = 406.96

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.