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Finding the Third Proportional to 238.84 and 350.94

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Solution

The third proportional to 238.84 and 350.94 is: 515.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.84 : 350.94 = 350.94 : x
  2. Step 2: Convert to fraction form
    238.84/350.94 = 350.94/x
  3. Step 3: Cross multiply
    238.84x = 350.94 × 350.94
  4. Step 4: Simplify right side
    238.84x = 123,157.13
  5. Step 5: Solve for x
    x = 123,157.13/238.84
  6. Step 6: Final answer
    x = 515.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.