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Finding the Third Proportional to 167.58 and 368.63

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Solution

The third proportional to 167.58 and 368.63 is: 810.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    167.58 : 368.63 = 368.63 : x
  2. Step 2: Convert to fraction form
    167.58/368.63 = 368.63/x
  3. Step 3: Cross multiply
    167.58x = 368.63 × 368.63
  4. Step 4: Simplify right side
    167.58x = 135,884.39
  5. Step 5: Solve for x
    x = 135,884.39/167.58
  6. Step 6: Final answer
    x = 810.87

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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.