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Finding the Third Proportional to 173,682 and 259,794

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Solution

The third proportional to 173,682 and 259,794 is: 388,600.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,682 : 259,794 = 259,794 : x
  2. Step 2: Convert to fraction form
    173,682/259,794 = 259,794/x
  3. Step 3: Cross multiply
    173,682x = 259,794 × 259,794
  4. Step 4: Simplify right side
    173,682x = 67,492,922,436
  5. Step 5: Solve for x
    x = 67,492,922,436/173,682
  6. Step 6: Final answer
    x = 388,600.56

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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.