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Finding the Third Proportional to 329.06 and 378.56

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Solution

The third proportional to 329.06 and 378.56 is: 435.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    329.06 : 378.56 = 378.56 : x
  2. Step 2: Convert to fraction form
    329.06/378.56 = 378.56/x
  3. Step 3: Cross multiply
    329.06x = 378.56 × 378.56
  4. Step 4: Simplify right side
    329.06x = 143,309.57
  5. Step 5: Solve for x
    x = 143,309.57/329.06
  6. Step 6: Final answer
    x = 435.51

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.