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Finding the Third Proportional to 233.88 and 311.94

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Solution

The third proportional to 233.88 and 311.94 is: 416.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.88 : 311.94 = 311.94 : x
  2. Step 2: Convert to fraction form
    233.88/311.94 = 311.94/x
  3. Step 3: Cross multiply
    233.88x = 311.94 × 311.94
  4. Step 4: Simplify right side
    233.88x = 97,305.00
  5. Step 5: Solve for x
    x = 97,305.00/233.88
  6. Step 6: Final answer
    x = 416.06

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.