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Finding the Third Proportional to 205,991 and 275,898

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Solution

The third proportional to 205,991 and 275,898 is: 369,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,991 : 275,898 = 275,898 : x
  2. Step 2: Convert to fraction form
    205,991/275,898 = 275,898/x
  3. Step 3: Cross multiply
    205,991x = 275,898 × 275,898
  4. Step 4: Simplify right side
    205,991x = 76,119,706,404
  5. Step 5: Solve for x
    x = 76,119,706,404/205,991
  6. Step 6: Final answer
    x = 369,529.28

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.