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Finding the Third Proportional to 238.88 and 387.94

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Solution

The third proportional to 238.88 and 387.94 is: 630.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.88 : 387.94 = 387.94 : x
  2. Step 2: Convert to fraction form
    238.88/387.94 = 387.94/x
  3. Step 3: Cross multiply
    238.88x = 387.94 × 387.94
  4. Step 4: Simplify right side
    238.88x = 150,495.50
  5. Step 5: Solve for x
    x = 150,495.50/238.88
  6. Step 6: Final answer
    x = 630.02

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.