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Finding the Third Proportional to 166,277 and 251,157

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Solution

The third proportional to 166,277 and 251,157 is: 379,365.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,277 : 251,157 = 251,157 : x
  2. Step 2: Convert to fraction form
    166,277/251,157 = 251,157/x
  3. Step 3: Cross multiply
    166,277x = 251,157 × 251,157
  4. Step 4: Simplify right side
    166,277x = 63,079,838,649
  5. Step 5: Solve for x
    x = 63,079,838,649/166,277
  6. Step 6: Final answer
    x = 379,365.99

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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.