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Finding the Third Proportional to 159,314 and 332,571

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Solution

The third proportional to 159,314 and 332,571 is: 694,248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,314 : 332,571 = 332,571 : x
  2. Step 2: Convert to fraction form
    159,314/332,571 = 332,571/x
  3. Step 3: Cross multiply
    159,314x = 332,571 × 332,571
  4. Step 4: Simplify right side
    159,314x = 110,603,470,041
  5. Step 5: Solve for x
    x = 110,603,470,041/159,314
  6. Step 6: Final answer
    x = 694,248.28

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.