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Finding the Third Proportional to 166,254 and 251,127

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Solution

The third proportional to 166,254 and 251,127 is: 379,327.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,254 : 251,127 = 251,127 : x
  2. Step 2: Convert to fraction form
    166,254/251,127 = 251,127/x
  3. Step 3: Cross multiply
    166,254x = 251,127 × 251,127
  4. Step 4: Simplify right side
    166,254x = 63,064,770,129
  5. Step 5: Solve for x
    x = 63,064,770,129/166,254
  6. Step 6: Final answer
    x = 379,327.84

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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.