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Finding the Third Proportional to 238.22 and 364.36

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Solution

The third proportional to 238.22 and 364.36 is: 557.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.22 : 364.36 = 364.36 : x
  2. Step 2: Convert to fraction form
    238.22/364.36 = 364.36/x
  3. Step 3: Cross multiply
    238.22x = 364.36 × 364.36
  4. Step 4: Simplify right side
    238.22x = 132,757.75
  5. Step 5: Solve for x
    x = 132,757.75/238.22
  6. Step 6: Final answer
    x = 557.29

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.