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Finding the Third Proportional to 166,781 and 245,761

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Solution

The third proportional to 166,781 and 245,761 is: 362,142.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,781 : 245,761 = 245,761 : x
  2. Step 2: Convert to fraction form
    166,781/245,761 = 245,761/x
  3. Step 3: Cross multiply
    166,781x = 245,761 × 245,761
  4. Step 4: Simplify right side
    166,781x = 60,398,469,121
  5. Step 5: Solve for x
    x = 60,398,469,121/166,781
  6. Step 6: Final answer
    x = 362,142.39

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.