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Finding the Third Proportional to 166,904 and 371,125

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Solution

The third proportional to 166,904 and 371,125 is: 825,227.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,904 : 371,125 = 371,125 : x
  2. Step 2: Convert to fraction form
    166,904/371,125 = 371,125/x
  3. Step 3: Cross multiply
    166,904x = 371,125 × 371,125
  4. Step 4: Simplify right side
    166,904x = 137,733,765,625
  5. Step 5: Solve for x
    x = 137,733,765,625/166,904
  6. Step 6: Final answer
    x = 825,227.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.