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Finding the Third Proportional to 166,143.66 and 251,197.45

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Solution

The third proportional to 166,143.66 and 251,197.45 is: 379,792.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,143.66 : 251,197.45 = 251,197.45 : x
  2. Step 2: Convert to fraction form
    166,143.66/251,197.45 = 251,197.45/x
  3. Step 3: Cross multiply
    166,143.66x = 251,197.45 × 251,197.45
  4. Step 4: Simplify right side
    166,143.66x = 63,100,160,456.49
  5. Step 5: Solve for x
    x = 63,100,160,456.49/166,143.66
  6. Step 6: Final answer
    x = 379,792.78

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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.