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Finding the Third Proportional to 171,771 and 366,369

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Solution

The third proportional to 171,771 and 366,369 is: 781,425.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,771 : 366,369 = 366,369 : x
  2. Step 2: Convert to fraction form
    171,771/366,369 = 366,369/x
  3. Step 3: Cross multiply
    171,771x = 366,369 × 366,369
  4. Step 4: Simplify right side
    171,771x = 134,226,244,161
  5. Step 5: Solve for x
    x = 134,226,244,161/171,771
  6. Step 6: Final answer
    x = 781,425.53

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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.