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Finding the Third Proportional to 80,429 and 171,544

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Solution

The third proportional to 80,429 and 171,544 is: 365,879.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,429 : 171,544 = 171,544 : x
  2. Step 2: Convert to fraction form
    80,429/171,544 = 171,544/x
  3. Step 3: Cross multiply
    80,429x = 171,544 × 171,544
  4. Step 4: Simplify right side
    80,429x = 29,427,343,936
  5. Step 5: Solve for x
    x = 29,427,343,936/80,429
  6. Step 6: Final answer
    x = 365,879.77

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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.