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Finding the Third Proportional to 156,794 and 332,956

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Solution

The third proportional to 156,794 and 332,956 is: 707,040.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,794 : 332,956 = 332,956 : x
  2. Step 2: Convert to fraction form
    156,794/332,956 = 332,956/x
  3. Step 3: Cross multiply
    156,794x = 332,956 × 332,956
  4. Step 4: Simplify right side
    156,794x = 110,859,697,936
  5. Step 5: Solve for x
    x = 110,859,697,936/156,794
  6. Step 6: Final answer
    x = 707,040.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.