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Finding the Third Proportional to 171,404 and 369,116

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Solution

The third proportional to 171,404 and 369,116 is: 794,885.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,404 : 369,116 = 369,116 : x
  2. Step 2: Convert to fraction form
    171,404/369,116 = 369,116/x
  3. Step 3: Cross multiply
    171,404x = 369,116 × 369,116
  4. Step 4: Simplify right side
    171,404x = 136,246,621,456
  5. Step 5: Solve for x
    x = 136,246,621,456/171,404
  6. Step 6: Final answer
    x = 794,885.89

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.