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Finding the Third Proportional to 166,972 and 371,314

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Solution

The third proportional to 166,972 and 371,314 is: 825,731.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,972 : 371,314 = 371,314 : x
  2. Step 2: Convert to fraction form
    166,972/371,314 = 371,314/x
  3. Step 3: Cross multiply
    166,972x = 371,314 × 371,314
  4. Step 4: Simplify right side
    166,972x = 137,874,086,596
  5. Step 5: Solve for x
    x = 137,874,086,596/166,972
  6. Step 6: Final answer
    x = 825,731.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.