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Finding the Third Proportional to 167,675.25 and 253,680.75

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Solution

The third proportional to 167,675.25 and 253,680.75 is: 383,800.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,675.25 : 253,680.75 = 253,680.75 : x
  2. Step 2: Convert to fraction form
    167,675.25/253,680.75 = 253,680.75/x
  3. Step 3: Cross multiply
    167,675.25x = 253,680.75 × 253,680.75
  4. Step 4: Simplify right side
    167,675.25x = 64,353,922,920.56
  5. Step 5: Solve for x
    x = 64,353,922,920.56/167,675.25
  6. Step 6: Final answer
    x = 383,800.97

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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.