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Finding the Third Proportional to 158,634 and 231,983

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Solution

The third proportional to 158,634 and 231,983 is: 339,247.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,634 : 231,983 = 231,983 : x
  2. Step 2: Convert to fraction form
    158,634/231,983 = 231,983/x
  3. Step 3: Cross multiply
    158,634x = 231,983 × 231,983
  4. Step 4: Simplify right side
    158,634x = 53,816,112,289
  5. Step 5: Solve for x
    x = 53,816,112,289/158,634
  6. Step 6: Final answer
    x = 339,247.02

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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.