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Finding the Third Proportional to 159,436.75 and 349,974

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Solution

The third proportional to 159,436.75 and 349,974 is: 768,215.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,436.75 : 349,974 = 349,974 : x
  2. Step 2: Convert to fraction form
    159,436.75/349,974 = 349,974/x
  3. Step 3: Cross multiply
    159,436.75x = 349,974 × 349,974
  4. Step 4: Simplify right side
    159,436.75x = 122,481,800,676
  5. Step 5: Solve for x
    x = 122,481,800,676/159,436.75
  6. Step 6: Final answer
    x = 768,215.61

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.