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Finding the Third Proportional to 165.09 and 364.41

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Solution

The third proportional to 165.09 and 364.41 is: 804.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.09 : 364.41 = 364.41 : x
  2. Step 2: Convert to fraction form
    165.09/364.41 = 364.41/x
  3. Step 3: Cross multiply
    165.09x = 364.41 × 364.41
  4. Step 4: Simplify right side
    165.09x = 132,791.92
  5. Step 5: Solve for x
    x = 132,791.92/165.09
  6. Step 6: Final answer
    x = 804.34

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.