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Finding the Third Proportional to 205,048 and 275,904

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Solution

The third proportional to 205,048 and 275,904 is: 371,244.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,048 : 275,904 = 275,904 : x
  2. Step 2: Convert to fraction form
    205,048/275,904 = 275,904/x
  3. Step 3: Cross multiply
    205,048x = 275,904 × 275,904
  4. Step 4: Simplify right side
    205,048x = 76,123,017,216
  5. Step 5: Solve for x
    x = 76,123,017,216/205,048
  6. Step 6: Final answer
    x = 371,244.87

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.