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Finding the Third Proportional to 131,704 and 283,400

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Solution

The third proportional to 131,704 and 283,400 is: 609,818.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,704 : 283,400 = 283,400 : x
  2. Step 2: Convert to fraction form
    131,704/283,400 = 283,400/x
  3. Step 3: Cross multiply
    131,704x = 283,400 × 283,400
  4. Step 4: Simplify right side
    131,704x = 80,315,560,000
  5. Step 5: Solve for x
    x = 80,315,560,000/131,704
  6. Step 6: Final answer
    x = 609,818.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.