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Finding the Third Proportional to 157,926 and 231,993

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Solution

The third proportional to 157,926 and 231,993 is: 340,797.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,926 : 231,993 = 231,993 : x
  2. Step 2: Convert to fraction form
    157,926/231,993 = 231,993/x
  3. Step 3: Cross multiply
    157,926x = 231,993 × 231,993
  4. Step 4: Simplify right side
    157,926x = 53,820,752,049
  5. Step 5: Solve for x
    x = 53,820,752,049/157,926
  6. Step 6: Final answer
    x = 340,797.29

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.