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Finding the Third Proportional to 166,192 and 362,462

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Solution

The third proportional to 166,192 and 362,462 is: 790,523.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,192 : 362,462 = 362,462 : x
  2. Step 2: Convert to fraction form
    166,192/362,462 = 362,462/x
  3. Step 3: Cross multiply
    166,192x = 362,462 × 362,462
  4. Step 4: Simplify right side
    166,192x = 131,378,701,444
  5. Step 5: Solve for x
    x = 131,378,701,444/166,192
  6. Step 6: Final answer
    x = 790,523.62

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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.