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Finding the Third Proportional to 167.88 and 369.93

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Solution

The third proportional to 167.88 and 369.93 is: 815.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.88 : 369.93 = 369.93 : x
  2. Step 2: Convert to fraction form
    167.88/369.93 = 369.93/x
  3. Step 3: Cross multiply
    167.88x = 369.93 × 369.93
  4. Step 4: Simplify right side
    167.88x = 136,846.98
  5. Step 5: Solve for x
    x = 136,846.98/167.88
  6. Step 6: Final answer
    x = 815.16

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.