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Finding the Third Proportional to 166,110 and 250,893

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Solution

The third proportional to 166,110 and 250,893 is: 378,949.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,110 : 250,893 = 250,893 : x
  2. Step 2: Convert to fraction form
    166,110/250,893 = 250,893/x
  3. Step 3: Cross multiply
    166,110x = 250,893 × 250,893
  4. Step 4: Simplify right side
    166,110x = 62,947,297,449
  5. Step 5: Solve for x
    x = 62,947,297,449/166,110
  6. Step 6: Final answer
    x = 378,949.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.