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Finding the Third Proportional to 167,676.75 and 253,091.25

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Solution

The third proportional to 167,676.75 and 253,091.25 is: 382,015.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,676.75 : 253,091.25 = 253,091.25 : x
  2. Step 2: Convert to fraction form
    167,676.75/253,091.25 = 253,091.25/x
  3. Step 3: Cross multiply
    167,676.75x = 253,091.25 × 253,091.25
  4. Step 4: Simplify right side
    167,676.75x = 64,055,180,826.56
  5. Step 5: Solve for x
    x = 64,055,180,826.56/167,676.75
  6. Step 6: Final answer
    x = 382,015.88

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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.