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Finding the Third Proportional to 166,181 and 362,436

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Solution

The third proportional to 166,181 and 362,436 is: 790,462.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,181 : 362,436 = 362,436 : x
  2. Step 2: Convert to fraction form
    166,181/362,436 = 362,436/x
  3. Step 3: Cross multiply
    166,181x = 362,436 × 362,436
  4. Step 4: Simplify right side
    166,181x = 131,359,854,096
  5. Step 5: Solve for x
    x = 131,359,854,096/166,181
  6. Step 6: Final answer
    x = 790,462.53

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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.