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Finding the Third Proportional to 171,782 and 366,388

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Solution

The third proportional to 171,782 and 366,388 is: 781,456.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,782 : 366,388 = 366,388 : x
  2. Step 2: Convert to fraction form
    171,782/366,388 = 366,388/x
  3. Step 3: Cross multiply
    171,782x = 366,388 × 366,388
  4. Step 4: Simplify right side
    171,782x = 134,240,166,544
  5. Step 5: Solve for x
    x = 134,240,166,544/171,782
  6. Step 6: Final answer
    x = 781,456.54

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.