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Finding the Third Proportional to 166,890 and 251,751

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Solution

The third proportional to 166,890 and 251,751 is: 379,762.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,890 : 251,751 = 251,751 : x
  2. Step 2: Convert to fraction form
    166,890/251,751 = 251,751/x
  3. Step 3: Cross multiply
    166,890x = 251,751 × 251,751
  4. Step 4: Simplify right side
    166,890x = 63,378,566,001
  5. Step 5: Solve for x
    x = 63,378,566,001/166,890
  6. Step 6: Final answer
    x = 379,762.51

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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.