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Finding the Third Proportional to 166,673 and 254,110

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Solution

The third proportional to 166,673 and 254,110 is: 387,416.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,673 : 254,110 = 254,110 : x
  2. Step 2: Convert to fraction form
    166,673/254,110 = 254,110/x
  3. Step 3: Cross multiply
    166,673x = 254,110 × 254,110
  4. Step 4: Simplify right side
    166,673x = 64,571,892,100
  5. Step 5: Solve for x
    x = 64,571,892,100/166,673
  6. Step 6: Final answer
    x = 387,416.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.