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Finding the Third Proportional to 311.69 and 466.94

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Solution

The third proportional to 311.69 and 466.94 is: 699.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.69 : 466.94 = 466.94 : x
  2. Step 2: Convert to fraction form
    311.69/466.94 = 466.94/x
  3. Step 3: Cross multiply
    311.69x = 466.94 × 466.94
  4. Step 4: Simplify right side
    311.69x = 218,030.63
  5. Step 5: Solve for x
    x = 218,030.63/311.69
  6. Step 6: Final answer
    x = 699.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.