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Finding the Third Proportional to 169,330 and 232,198

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Solution

The third proportional to 169,330 and 232,198 is: 318,407.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,330 : 232,198 = 232,198 : x
  2. Step 2: Convert to fraction form
    169,330/232,198 = 232,198/x
  3. Step 3: Cross multiply
    169,330x = 232,198 × 232,198
  4. Step 4: Simplify right side
    169,330x = 53,915,911,204
  5. Step 5: Solve for x
    x = 53,915,911,204/169,330
  6. Step 6: Final answer
    x = 318,407.32

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.