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Finding the Third Proportional to 160,171 and 231,994

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Solution

The third proportional to 160,171 and 231,994 is: 336,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,171 : 231,994 = 231,994 : x
  2. Step 2: Convert to fraction form
    160,171/231,994 = 231,994/x
  3. Step 3: Cross multiply
    160,171x = 231,994 × 231,994
  4. Step 4: Simplify right side
    160,171x = 53,821,216,036
  5. Step 5: Solve for x
    x = 53,821,216,036/160,171
  6. Step 6: Final answer
    x = 336,023.48

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.