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Finding the Third Proportional to 174.66 and 365.34

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Solution

The third proportional to 174.66 and 365.34 is: 764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.66 : 365.34 = 365.34 : x
  2. Step 2: Convert to fraction form
    174.66/365.34 = 365.34/x
  3. Step 3: Cross multiply
    174.66x = 365.34 × 365.34
  4. Step 4: Simplify right side
    174.66x = 133,476.06
  5. Step 5: Solve for x
    x = 133,476.06/174.66
  6. Step 6: Final answer
    x = 764.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.