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Finding the Third Proportional to 111,770 and 243,198

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Solution

The third proportional to 111,770 and 243,198 is: 529,169.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,770 : 243,198 = 243,198 : x
  2. Step 2: Convert to fraction form
    111,770/243,198 = 243,198/x
  3. Step 3: Cross multiply
    111,770x = 243,198 × 243,198
  4. Step 4: Simplify right side
    111,770x = 59,145,267,204
  5. Step 5: Solve for x
    x = 59,145,267,204/111,770
  6. Step 6: Final answer
    x = 529,169.43

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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.