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Finding the Third Proportional to 166,672.50 and 254,109

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Solution

The third proportional to 166,672.50 and 254,109 is: 387,414.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,672.50 : 254,109 = 254,109 : x
  2. Step 2: Convert to fraction form
    166,672.50/254,109 = 254,109/x
  3. Step 3: Cross multiply
    166,672.50x = 254,109 × 254,109
  4. Step 4: Simplify right side
    166,672.50x = 64,571,383,881
  5. Step 5: Solve for x
    x = 64,571,383,881/166,672.50
  6. Step 6: Final answer
    x = 387,414.74

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