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Finding the Third Proportional to 283.22 and 378.03

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Solution

The third proportional to 283.22 and 378.03 is: 504.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.22 : 378.03 = 378.03 : x
  2. Step 2: Convert to fraction form
    283.22/378.03 = 378.03/x
  3. Step 3: Cross multiply
    283.22x = 378.03 × 378.03
  4. Step 4: Simplify right side
    283.22x = 142,903.93
  5. Step 5: Solve for x
    x = 142,903.93/283.22
  6. Step 6: Final answer
    x = 504.56

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.