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Finding the Third Proportional to 158,593 and 231,935

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Solution

The third proportional to 158,593 and 231,935 is: 339,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,593 : 231,935 = 231,935 : x
  2. Step 2: Convert to fraction form
    158,593/231,935 = 231,935/x
  3. Step 3: Cross multiply
    158,593x = 231,935 × 231,935
  4. Step 4: Simplify right side
    158,593x = 53,793,844,225
  5. Step 5: Solve for x
    x = 53,793,844,225/158,593
  6. Step 6: Final answer
    x = 339,194.32

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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.