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Finding the Third Proportional to 83,601 and 180,324

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Solution

The third proportional to 83,601 and 180,324 is: 388,951.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,601 : 180,324 = 180,324 : x
  2. Step 2: Convert to fraction form
    83,601/180,324 = 180,324/x
  3. Step 3: Cross multiply
    83,601x = 180,324 × 180,324
  4. Step 4: Simplify right side
    83,601x = 32,516,744,976
  5. Step 5: Solve for x
    x = 32,516,744,976/83,601
  6. Step 6: Final answer
    x = 388,951.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.