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Finding the Third Proportional to 165.16 and 355.96

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Solution

The third proportional to 165.16 and 355.96 is: 767.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.16 : 355.96 = 355.96 : x
  2. Step 2: Convert to fraction form
    165.16/355.96 = 355.96/x
  3. Step 3: Cross multiply
    165.16x = 355.96 × 355.96
  4. Step 4: Simplify right side
    165.16x = 126,705.41
  5. Step 5: Solve for x
    x = 126,705.41/165.16
  6. Step 6: Final answer
    x = 767.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.