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Finding the Third Proportional to 166,974 and 251,901

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Solution

The third proportional to 166,974 and 251,901 is: 380,023.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,974 : 251,901 = 251,901 : x
  2. Step 2: Convert to fraction form
    166,974/251,901 = 251,901/x
  3. Step 3: Cross multiply
    166,974x = 251,901 × 251,901
  4. Step 4: Simplify right side
    166,974x = 63,454,113,801
  5. Step 5: Solve for x
    x = 63,454,113,801/166,974
  6. Step 6: Final answer
    x = 380,023.92

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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.