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Finding the Third Proportional to 165.66 and 365.06

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Solution

The third proportional to 165.66 and 365.06 is: 804.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.66 : 365.06 = 365.06 : x
  2. Step 2: Convert to fraction form
    165.66/365.06 = 365.06/x
  3. Step 3: Cross multiply
    165.66x = 365.06 × 365.06
  4. Step 4: Simplify right side
    165.66x = 133,270.63
  5. Step 5: Solve for x
    x = 133,270.63/165.66
  6. Step 6: Final answer
    x = 804.50

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Why These Related Problems?

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