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Finding the Third Proportional to 238.78 and 310.36

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Solution

The third proportional to 238.78 and 310.36 is: 403.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.78 : 310.36 = 310.36 : x
  2. Step 2: Convert to fraction form
    238.78/310.36 = 310.36/x
  3. Step 3: Cross multiply
    238.78x = 310.36 × 310.36
  4. Step 4: Simplify right side
    238.78x = 96,322.94
  5. Step 5: Solve for x
    x = 96,322.94/238.78
  6. Step 6: Final answer
    x = 403.39

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These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.