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Finding the Third Proportional to 80,516 and 174,883

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Solution

The third proportional to 80,516 and 174,883 is: 379,850.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,516 : 174,883 = 174,883 : x
  2. Step 2: Convert to fraction form
    80,516/174,883 = 174,883/x
  3. Step 3: Cross multiply
    80,516x = 174,883 × 174,883
  4. Step 4: Simplify right side
    80,516x = 30,584,063,689
  5. Step 5: Solve for x
    x = 30,584,063,689/80,516
  6. Step 6: Final answer
    x = 379,850.76

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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.