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Finding the Third Proportional to 80,194 and 168,004

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Solution

The third proportional to 80,194 and 168,004 is: 351,963.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,194 : 168,004 = 168,004 : x
  2. Step 2: Convert to fraction form
    80,194/168,004 = 168,004/x
  3. Step 3: Cross multiply
    80,194x = 168,004 × 168,004
  4. Step 4: Simplify right side
    80,194x = 28,225,344,016
  5. Step 5: Solve for x
    x = 28,225,344,016/80,194
  6. Step 6: Final answer
    x = 351,963.29

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.