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Finding the Third Proportional to 160,170 and 231,992.75

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Solution

The third proportional to 160,170 and 231,992.75 is: 336,021.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,170 : 231,992.75 = 231,992.75 : x
  2. Step 2: Convert to fraction form
    160,170/231,992.75 = 231,992.75/x
  3. Step 3: Cross multiply
    160,170x = 231,992.75 × 231,992.75
  4. Step 4: Simplify right side
    160,170x = 53,820,636,052.56
  5. Step 5: Solve for x
    x = 53,820,636,052.56/160,170
  6. Step 6: Final answer
    x = 336,021.95

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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.