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Finding the Third Proportional to 166,606 and 362,792

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Solution

The third proportional to 166,606 and 362,792 is: 789,995.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,606 : 362,792 = 362,792 : x
  2. Step 2: Convert to fraction form
    166,606/362,792 = 362,792/x
  3. Step 3: Cross multiply
    166,606x = 362,792 × 362,792
  4. Step 4: Simplify right side
    166,606x = 131,618,035,264
  5. Step 5: Solve for x
    x = 131,618,035,264/166,606
  6. Step 6: Final answer
    x = 789,995.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.