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Finding the Third Proportional to 176.97 and 273.34

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Solution

The third proportional to 176.97 and 273.34 is: 422.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.97 : 273.34 = 273.34 : x
  2. Step 2: Convert to fraction form
    176.97/273.34 = 273.34/x
  3. Step 3: Cross multiply
    176.97x = 273.34 × 273.34
  4. Step 4: Simplify right side
    176.97x = 74,716.81
  5. Step 5: Solve for x
    x = 74,716.81/176.97
  6. Step 6: Final answer
    x = 422.20

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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.