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Finding the Third Proportional to 208.94 and 493.38

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Solution

The third proportional to 208.94 and 493.38 is: 1,165.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.94 : 493.38 = 493.38 : x
  2. Step 2: Convert to fraction form
    208.94/493.38 = 493.38/x
  3. Step 3: Cross multiply
    208.94x = 493.38 × 493.38
  4. Step 4: Simplify right side
    208.94x = 243,418.89
  5. Step 5: Solve for x
    x = 243,418.89/208.94
  6. Step 6: Final answer
    x = 1,165.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.