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Finding the Third Proportional to 205,811.25 and 450,975

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Solution

The third proportional to 205,811.25 and 450,975 is: 988,179.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,811.25 : 450,975 = 450,975 : x
  2. Step 2: Convert to fraction form
    205,811.25/450,975 = 450,975/x
  3. Step 3: Cross multiply
    205,811.25x = 450,975 × 450,975
  4. Step 4: Simplify right side
    205,811.25x = 203,378,450,625
  5. Step 5: Solve for x
    x = 203,378,450,625/205,811.25
  6. Step 6: Final answer
    x = 988,179.46

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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.