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Finding the Third Proportional to 173.97 and 404.55

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Solution

The third proportional to 173.97 and 404.55 is: 940.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.97 : 404.55 = 404.55 : x
  2. Step 2: Convert to fraction form
    173.97/404.55 = 404.55/x
  3. Step 3: Cross multiply
    173.97x = 404.55 × 404.55
  4. Step 4: Simplify right side
    173.97x = 163,658.17
  5. Step 5: Solve for x
    x = 163,658.17/173.97
  6. Step 6: Final answer
    x = 940.73

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.