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Finding the Third Proportional to 103,083 and 225,849

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Solution

The third proportional to 103,083 and 225,849 is: 494,822.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,083 : 225,849 = 225,849 : x
  2. Step 2: Convert to fraction form
    103,083/225,849 = 225,849/x
  3. Step 3: Cross multiply
    103,083x = 225,849 × 225,849
  4. Step 4: Simplify right side
    103,083x = 51,007,770,801
  5. Step 5: Solve for x
    x = 51,007,770,801/103,083
  6. Step 6: Final answer
    x = 494,822.34

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.