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Finding the Third Proportional to 165.66 and 356.48

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Solution

The third proportional to 165.66 and 356.48 is: 767.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.66 : 356.48 = 356.48 : x
  2. Step 2: Convert to fraction form
    165.66/356.48 = 356.48/x
  3. Step 3: Cross multiply
    165.66x = 356.48 × 356.48
  4. Step 4: Simplify right side
    165.66x = 127,081.11
  5. Step 5: Solve for x
    x = 127,081.11/165.66
  6. Step 6: Final answer
    x = 767.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.