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Finding the Third Proportional to 205,449.75 and 416,549.25

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Solution

The third proportional to 205,449.75 and 416,549.25 is: 844,553.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,449.75 : 416,549.25 = 416,549.25 : x
  2. Step 2: Convert to fraction form
    205,449.75/416,549.25 = 416,549.25/x
  3. Step 3: Cross multiply
    205,449.75x = 416,549.25 × 416,549.25
  4. Step 4: Simplify right side
    205,449.75x = 173,513,277,675.56
  5. Step 5: Solve for x
    x = 173,513,277,675.56/205,449.75
  6. Step 6: Final answer
    x = 844,553.36

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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.