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Finding the Third Proportional to 205,832 and 307,884

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Solution

The third proportional to 205,832 and 307,884 is: 460,533.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,832 : 307,884 = 307,884 : x
  2. Step 2: Convert to fraction form
    205,832/307,884 = 307,884/x
  3. Step 3: Cross multiply
    205,832x = 307,884 × 307,884
  4. Step 4: Simplify right side
    205,832x = 94,792,557,456
  5. Step 5: Solve for x
    x = 94,792,557,456/205,832
  6. Step 6: Final answer
    x = 460,533.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.