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Finding the Third Proportional to 80,516.25 and 174,906.28

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Solution

The third proportional to 80,516.25 and 174,906.28 is: 379,950.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,516.25 : 174,906.28 = 174,906.28 : x
  2. Step 2: Convert to fraction form
    80,516.25/174,906.28 = 174,906.28/x
  3. Step 3: Cross multiply
    80,516.25x = 174,906.28 × 174,906.28
  4. Step 4: Simplify right side
    80,516.25x = 30,592,207,220.70
  5. Step 5: Solve for x
    x = 30,592,207,220.70/80,516.25
  6. Step 6: Final answer
    x = 379,950.72

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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.