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Finding the Third Proportional to 159,063.75 and 245,976.75

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Solution

The third proportional to 159,063.75 and 245,976.75 is: 380,379.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,063.75 : 245,976.75 = 245,976.75 : x
  2. Step 2: Convert to fraction form
    159,063.75/245,976.75 = 245,976.75/x
  3. Step 3: Cross multiply
    159,063.75x = 245,976.75 × 245,976.75
  4. Step 4: Simplify right side
    159,063.75x = 60,504,561,540.56
  5. Step 5: Solve for x
    x = 60,504,561,540.56/159,063.75
  6. Step 6: Final answer
    x = 380,379.32

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.