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Finding the Third Proportional to 117 and 164.25

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Solution

The third proportional to 117 and 164.25 is: 230.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    117 : 164.25 = 164.25 : x
  2. Step 2: Convert to fraction form
    117/164.25 = 164.25/x
  3. Step 3: Cross multiply
    117x = 164.25 × 164.25
  4. Step 4: Simplify right side
    117x = 26,978.06
  5. Step 5: Solve for x
    x = 26,978.06/117
  6. Step 6: Final answer
    x = 230.58

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.