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Finding the Third Proportional to 233,982 and 342,198

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Solution

The third proportional to 233,982 and 342,198 is: 500,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,982 : 342,198 = 342,198 : x
  2. Step 2: Convert to fraction form
    233,982/342,198 = 342,198/x
  3. Step 3: Cross multiply
    233,982x = 342,198 × 342,198
  4. Step 4: Simplify right side
    233,982x = 117,099,471,204
  5. Step 5: Solve for x
    x = 117,099,471,204/233,982
  6. Step 6: Final answer
    x = 500,463.59

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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.