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Finding the Third Proportional to 164.06 and 261.47

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Solution

The third proportional to 164.06 and 261.47 is: 416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    164.06 : 261.47 = 261.47 : x
  2. Step 2: Convert to fraction form
    164.06/261.47 = 261.47/x
  3. Step 3: Cross multiply
    164.06x = 261.47 × 261.47
  4. Step 4: Simplify right side
    164.06x = 68,365.91
  5. Step 5: Solve for x
    x = 68,365.91/164.06
  6. Step 6: Final answer
    x = 416.71

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.