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Finding the Third Proportional to 162,571 and 332,675

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Solution

The third proportional to 162,571 and 332,675 is: 680,765.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,571 : 332,675 = 332,675 : x
  2. Step 2: Convert to fraction form
    162,571/332,675 = 332,675/x
  3. Step 3: Cross multiply
    162,571x = 332,675 × 332,675
  4. Step 4: Simplify right side
    162,571x = 110,672,655,625
  5. Step 5: Solve for x
    x = 110,672,655,625/162,571
  6. Step 6: Final answer
    x = 680,765.05

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.