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Finding the Third Proportional to 166,966 and 371,306

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Solution

The third proportional to 166,966 and 371,306 is: 825,725.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,966 : 371,306 = 371,306 : x
  2. Step 2: Convert to fraction form
    166,966/371,306 = 371,306/x
  3. Step 3: Cross multiply
    166,966x = 371,306 × 371,306
  4. Step 4: Simplify right side
    166,966x = 137,868,145,636
  5. Step 5: Solve for x
    x = 137,868,145,636/166,966
  6. Step 6: Final answer
    x = 825,725.87

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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.