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Finding the Third Proportional to 173.39 and 266.41

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Solution

The third proportional to 173.39 and 266.41 is: 409.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.39 : 266.41 = 266.41 : x
  2. Step 2: Convert to fraction form
    173.39/266.41 = 266.41/x
  3. Step 3: Cross multiply
    173.39x = 266.41 × 266.41
  4. Step 4: Simplify right side
    173.39x = 70,976.45
  5. Step 5: Solve for x
    x = 70,976.45/173.39
  6. Step 6: Final answer
    x = 409.34

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.