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Finding the Third Proportional to 158,601 and 231,945

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Solution

The third proportional to 158,601 and 231,945 is: 339,206.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,601 : 231,945 = 231,945 : x
  2. Step 2: Convert to fraction form
    158,601/231,945 = 231,945/x
  3. Step 3: Cross multiply
    158,601x = 231,945 × 231,945
  4. Step 4: Simplify right side
    158,601x = 53,798,483,025
  5. Step 5: Solve for x
    x = 53,798,483,025/158,601
  6. Step 6: Final answer
    x = 339,206.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.