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Finding the Third Proportional to 166,186 and 362,450

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Solution

The third proportional to 166,186 and 362,450 is: 790,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,186 : 362,450 = 362,450 : x
  2. Step 2: Convert to fraction form
    166,186/362,450 = 362,450/x
  3. Step 3: Cross multiply
    166,186x = 362,450 × 362,450
  4. Step 4: Simplify right side
    166,186x = 131,370,002,500
  5. Step 5: Solve for x
    x = 131,370,002,500/166,186
  6. Step 6: Final answer
    x = 790,499.82

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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.