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Finding the Third Proportional to 173,162 and 259,748

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Solution

The third proportional to 173,162 and 259,748 is: 389,629.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,162 : 259,748 = 259,748 : x
  2. Step 2: Convert to fraction form
    173,162/259,748 = 259,748/x
  3. Step 3: Cross multiply
    173,162x = 259,748 × 259,748
  4. Step 4: Simplify right side
    173,162x = 67,469,023,504
  5. Step 5: Solve for x
    x = 67,469,023,504/173,162
  6. Step 6: Final answer
    x = 389,629.50

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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.