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Finding the Third Proportional to 238.99 and 349.56

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Solution

The third proportional to 238.99 and 349.56 is: 511.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.99 : 349.56 = 349.56 : x
  2. Step 2: Convert to fraction form
    238.99/349.56 = 349.56/x
  3. Step 3: Cross multiply
    238.99x = 349.56 × 349.56
  4. Step 4: Simplify right side
    238.99x = 122,191.21
  5. Step 5: Solve for x
    x = 122,191.21/238.99
  6. Step 6: Final answer
    x = 511.28

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.