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Finding the Third Proportional to 171,400 and 369,108

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Solution

The third proportional to 171,400 and 369,108 is: 794,869.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,400 : 369,108 = 369,108 : x
  2. Step 2: Convert to fraction form
    171,400/369,108 = 369,108/x
  3. Step 3: Cross multiply
    171,400x = 369,108 × 369,108
  4. Step 4: Simplify right side
    171,400x = 136,240,715,664
  5. Step 5: Solve for x
    x = 136,240,715,664/171,400
  6. Step 6: Final answer
    x = 794,869.99

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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.