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Finding the Third Proportional to 165.66 and 256.03

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Solution

The third proportional to 165.66 and 256.03 is: 395.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.66 : 256.03 = 256.03 : x
  2. Step 2: Convert to fraction form
    165.66/256.03 = 256.03/x
  3. Step 3: Cross multiply
    165.66x = 256.03 × 256.03
  4. Step 4: Simplify right side
    165.66x = 65,552.00
  5. Step 5: Solve for x
    x = 65,552.00/165.66
  6. Step 6: Final answer
    x = 395.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.