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Finding the Third Proportional to 164.53 and 255.66

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Solution

The third proportional to 164.53 and 255.66 is: 397.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.53 : 255.66 = 255.66 : x
  2. Step 2: Convert to fraction form
    164.53/255.66 = 255.66/x
  3. Step 3: Cross multiply
    164.53x = 255.66 × 255.66
  4. Step 4: Simplify right side
    164.53x = 65,360.12
  5. Step 5: Solve for x
    x = 65,360.12/164.53
  6. Step 6: Final answer
    x = 397.25

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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.