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Finding the Third Proportional to 156,784 and 344,782

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Solution

The third proportional to 156,784 and 344,782 is: 758,206.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,784 : 344,782 = 344,782 : x
  2. Step 2: Convert to fraction form
    156,784/344,782 = 344,782/x
  3. Step 3: Cross multiply
    156,784x = 344,782 × 344,782
  4. Step 4: Simplify right side
    156,784x = 118,874,627,524
  5. Step 5: Solve for x
    x = 118,874,627,524/156,784
  6. Step 6: Final answer
    x = 758,206.37

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.