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Finding the Third Proportional to 165,996 and 238,626

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Solution

The third proportional to 165,996 and 238,626 is: 343,034.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,996 : 238,626 = 238,626 : x
  2. Step 2: Convert to fraction form
    165,996/238,626 = 238,626/x
  3. Step 3: Cross multiply
    165,996x = 238,626 × 238,626
  4. Step 4: Simplify right side
    165,996x = 56,942,367,876
  5. Step 5: Solve for x
    x = 56,942,367,876/165,996
  6. Step 6: Final answer
    x = 343,034.58

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.