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Finding the Third Proportional to 167.70 and 365.77

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Solution

The third proportional to 167.70 and 365.77 is: 797.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.70 : 365.77 = 365.77 : x
  2. Step 2: Convert to fraction form
    167.70/365.77 = 365.77/x
  3. Step 3: Cross multiply
    167.70x = 365.77 × 365.77
  4. Step 4: Simplify right side
    167.70x = 133,784.49
  5. Step 5: Solve for x
    x = 133,784.49/167.70
  6. Step 6: Final answer
    x = 797.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.