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Finding the Third Proportional to 160,121 and 231,919

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Solution

The third proportional to 160,121 and 231,919 is: 335,911.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,121 : 231,919 = 231,919 : x
  2. Step 2: Convert to fraction form
    160,121/231,919 = 231,919/x
  3. Step 3: Cross multiply
    160,121x = 231,919 × 231,919
  4. Step 4: Simplify right side
    160,121x = 53,786,422,561
  5. Step 5: Solve for x
    x = 53,786,422,561/160,121
  6. Step 6: Final answer
    x = 335,911.11

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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.