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Finding the Third Proportional to 173,210 and 371,474

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Solution

The third proportional to 173,210 and 371,474 is: 796,679.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,210 : 371,474 = 371,474 : x
  2. Step 2: Convert to fraction form
    173,210/371,474 = 371,474/x
  3. Step 3: Cross multiply
    173,210x = 371,474 × 371,474
  4. Step 4: Simplify right side
    173,210x = 137,992,932,676
  5. Step 5: Solve for x
    x = 137,992,932,676/173,210
  6. Step 6: Final answer
    x = 796,679.94

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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.