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Finding the Third Proportional to 208.83 and 303.99

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Solution

The third proportional to 208.83 and 303.99 is: 442.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.83 : 303.99 = 303.99 : x
  2. Step 2: Convert to fraction form
    208.83/303.99 = 303.99/x
  3. Step 3: Cross multiply
    208.83x = 303.99 × 303.99
  4. Step 4: Simplify right side
    208.83x = 92,408.28
  5. Step 5: Solve for x
    x = 92,408.28/208.83
  6. Step 6: Final answer
    x = 442.51

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Why These Related Problems?

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