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Finding the Third Proportional to 140,520 and 331,704

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Solution

The third proportional to 140,520 and 331,704 is: 783,002.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,520 : 331,704 = 331,704 : x
  2. Step 2: Convert to fraction form
    140,520/331,704 = 331,704/x
  3. Step 3: Cross multiply
    140,520x = 331,704 × 331,704
  4. Step 4: Simplify right side
    140,520x = 110,027,543,616
  5. Step 5: Solve for x
    x = 110,027,543,616/140,520
  6. Step 6: Final answer
    x = 783,002.73

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.