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Finding the Third Proportional to 168.06 and 364.94

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Solution

The third proportional to 168.06 and 364.94 is: 792.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    168.06 : 364.94 = 364.94 : x
  2. Step 2: Convert to fraction form
    168.06/364.94 = 364.94/x
  3. Step 3: Cross multiply
    168.06x = 364.94 × 364.94
  4. Step 4: Simplify right side
    168.06x = 133,179.38
  5. Step 5: Solve for x
    x = 133,179.38/168.06
  6. Step 6: Final answer
    x = 792.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.