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Finding the Third Proportional to 319.78 and 378.56

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Solution

The third proportional to 319.78 and 378.56 is: 448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.78 : 378.56 = 378.56 : x
  2. Step 2: Convert to fraction form
    319.78/378.56 = 378.56/x
  3. Step 3: Cross multiply
    319.78x = 378.56 × 378.56
  4. Step 4: Simplify right side
    319.78x = 143,309.57
  5. Step 5: Solve for x
    x = 143,309.57/319.78
  6. Step 6: Final answer
    x = 448.15

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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.