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Finding the Third Proportional to 80,296 and 171,664

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Solution

The third proportional to 80,296 and 171,664 is: 366,998.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,296 : 171,664 = 171,664 : x
  2. Step 2: Convert to fraction form
    80,296/171,664 = 171,664/x
  3. Step 3: Cross multiply
    80,296x = 171,664 × 171,664
  4. Step 4: Simplify right side
    80,296x = 29,468,528,896
  5. Step 5: Solve for x
    x = 29,468,528,896/80,296
  6. Step 6: Final answer
    x = 366,998.72

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.