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Finding the Third Proportional to 205,800 and 417,324

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Solution

The third proportional to 205,800 and 417,324 is: 846,255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,800 : 417,324 = 417,324 : x
  2. Step 2: Convert to fraction form
    205,800/417,324 = 417,324/x
  3. Step 3: Cross multiply
    205,800x = 417,324 × 417,324
  4. Step 4: Simplify right side
    205,800x = 174,159,320,976
  5. Step 5: Solve for x
    x = 174,159,320,976/205,800
  6. Step 6: Final answer
    x = 846,255.20

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.