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Finding the Third Proportional to 173,204 and 259,806

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Solution

The third proportional to 173,204 and 259,806 is: 389,709

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,204 : 259,806 = 259,806 : x
  2. Step 2: Convert to fraction form
    173,204/259,806 = 259,806/x
  3. Step 3: Cross multiply
    173,204x = 259,806 × 259,806
  4. Step 4: Simplify right side
    173,204x = 67,499,157,636
  5. Step 5: Solve for x
    x = 67,499,157,636/173,204
  6. Step 6: Final answer
    x = 389,709

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.