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Finding the Third Proportional to 74,682 and 164,268

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Solution

The third proportional to 74,682 and 164,268 is: 361,318.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,682 : 164,268 = 164,268 : x
  2. Step 2: Convert to fraction form
    74,682/164,268 = 164,268/x
  3. Step 3: Cross multiply
    74,682x = 164,268 × 164,268
  4. Step 4: Simplify right side
    74,682x = 26,983,975,824
  5. Step 5: Solve for x
    x = 26,983,975,824/74,682
  6. Step 6: Final answer
    x = 361,318.33

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.