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Finding the Third Proportional to 80,406 and 174,663

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Solution

The third proportional to 80,406 and 174,663 is: 379,414.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,406 : 174,663 = 174,663 : x
  2. Step 2: Convert to fraction form
    80,406/174,663 = 174,663/x
  3. Step 3: Cross multiply
    80,406x = 174,663 × 174,663
  4. Step 4: Simplify right side
    80,406x = 30,507,163,569
  5. Step 5: Solve for x
    x = 30,507,163,569/80,406
  6. Step 6: Final answer
    x = 379,414.02

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.