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Finding the Third Proportional to 165.80 and 227.60

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Solution

The third proportional to 165.80 and 227.60 is: 312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.80 : 227.60 = 227.60 : x
  2. Step 2: Convert to fraction form
    165.80/227.60 = 227.60/x
  3. Step 3: Cross multiply
    165.80x = 227.60 × 227.60
  4. Step 4: Simplify right side
    165.80x = 51,802.47
  5. Step 5: Solve for x
    x = 51,802.47/165.80
  6. Step 6: Final answer
    x = 312.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.