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Finding the Third Proportional to 106,337 and 231,992

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Solution

The third proportional to 106,337 and 231,992 is: 506,129.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,337 : 231,992 = 231,992 : x
  2. Step 2: Convert to fraction form
    106,337/231,992 = 231,992/x
  3. Step 3: Cross multiply
    106,337x = 231,992 × 231,992
  4. Step 4: Simplify right side
    106,337x = 53,820,288,064
  5. Step 5: Solve for x
    x = 53,820,288,064/106,337
  6. Step 6: Final answer
    x = 506,129.46

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.