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Finding the Third Proportional to 166,462 and 366,857

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Solution

The third proportional to 166,462 and 366,857 is: 808,497.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,462 : 366,857 = 366,857 : x
  2. Step 2: Convert to fraction form
    166,462/366,857 = 366,857/x
  3. Step 3: Cross multiply
    166,462x = 366,857 × 366,857
  4. Step 4: Simplify right side
    166,462x = 134,584,058,449
  5. Step 5: Solve for x
    x = 134,584,058,449/166,462
  6. Step 6: Final answer
    x = 808,497.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.