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Finding the Third Proportional to 208.88 and 313.94

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Solution

The third proportional to 208.88 and 313.94 is: 471.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.88 : 313.94 = 313.94 : x
  2. Step 2: Convert to fraction form
    208.88/313.94 = 313.94/x
  3. Step 3: Cross multiply
    208.88x = 313.94 × 313.94
  4. Step 4: Simplify right side
    208.88x = 98,556.75
  5. Step 5: Solve for x
    x = 98,556.75/208.88
  6. Step 6: Final answer
    x = 471.85

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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.