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Finding the Third Proportional to 173,074 and 371,204

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Solution

The third proportional to 173,074 and 371,204 is: 796,147.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,074 : 371,204 = 371,204 : x
  2. Step 2: Convert to fraction form
    173,074/371,204 = 371,204/x
  3. Step 3: Cross multiply
    173,074x = 371,204 × 371,204
  4. Step 4: Simplify right side
    173,074x = 137,792,409,616
  5. Step 5: Solve for x
    x = 137,792,409,616/173,074
  6. Step 6: Final answer
    x = 796,147.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.