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Finding the Third Proportional to 165.90 and 246.22

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Solution

The third proportional to 165.90 and 246.22 is: 365.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 246.22 = 246.22 : x
  2. Step 2: Convert to fraction form
    165.90/246.22 = 246.22/x
  3. Step 3: Cross multiply
    165.90x = 246.22 × 246.22
  4. Step 4: Simplify right side
    165.90x = 60,622.71
  5. Step 5: Solve for x
    x = 60,622.71/165.90
  6. Step 6: Final answer
    x = 365.41

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.