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Finding the Third Proportional to 102.66 and 208.69

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Solution

The third proportional to 102.66 and 208.69 is: 424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.66 : 208.69 = 208.69 : x
  2. Step 2: Convert to fraction form
    102.66/208.69 = 208.69/x
  3. Step 3: Cross multiply
    102.66x = 208.69 × 208.69
  4. Step 4: Simplify right side
    102.66x = 43,550.47
  5. Step 5: Solve for x
    x = 43,550.47/102.66
  6. Step 6: Final answer
    x = 424.24

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.