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Finding the Third Proportional to 165.16 and 248.22

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Solution

The third proportional to 165.16 and 248.22 is: 373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 248.22 = 248.22 : x
  2. Step 2: Convert to fraction form
    165.16/248.22 = 248.22/x
  3. Step 3: Cross multiply
    165.16x = 248.22 × 248.22
  4. Step 4: Simplify right side
    165.16x = 61,613.52
  5. Step 5: Solve for x
    x = 61,613.52/165.16
  6. Step 6: Final answer
    x = 373.04

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.