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Finding the Third Proportional to 319.17 and 667.30

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Solution

The third proportional to 319.17 and 667.30 is: 1,395.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.17 : 667.30 = 667.30 : x
  2. Step 2: Convert to fraction form
    319.17/667.30 = 667.30/x
  3. Step 3: Cross multiply
    319.17x = 667.30 × 667.30
  4. Step 4: Simplify right side
    319.17x = 445,290.33
  5. Step 5: Solve for x
    x = 445,290.33/319.17
  6. Step 6: Final answer
    x = 1,395.13

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.