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Finding the Third Proportional to 166,824 and 251,676

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Solution

The third proportional to 166,824 and 251,676 is: 379,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,824 : 251,676 = 251,676 : x
  2. Step 2: Convert to fraction form
    166,824/251,676 = 251,676/x
  3. Step 3: Cross multiply
    166,824x = 251,676 × 251,676
  4. Step 4: Simplify right side
    166,824x = 63,340,808,976
  5. Step 5: Solve for x
    x = 63,340,808,976/166,824
  6. Step 6: Final answer
    x = 379,686.43

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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.