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Finding the Third Proportional to 159,198 and 334,806

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Solution

The third proportional to 159,198 and 334,806 is: 704,123.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,198 : 334,806 = 334,806 : x
  2. Step 2: Convert to fraction form
    159,198/334,806 = 334,806/x
  3. Step 3: Cross multiply
    159,198x = 334,806 × 334,806
  4. Step 4: Simplify right side
    159,198x = 112,095,057,636
  5. Step 5: Solve for x
    x = 112,095,057,636/159,198
  6. Step 6: Final answer
    x = 704,123.53

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.