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Finding the Third Proportional to 84,629.25 and 203,909.25

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Solution

The third proportional to 84,629.25 and 203,909.25 is: 491,307.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,629.25 : 203,909.25 = 203,909.25 : x
  2. Step 2: Convert to fraction form
    84,629.25/203,909.25 = 203,909.25/x
  3. Step 3: Cross multiply
    84,629.25x = 203,909.25 × 203,909.25
  4. Step 4: Simplify right side
    84,629.25x = 41,578,982,235.56
  5. Step 5: Solve for x
    x = 41,578,982,235.56/84,629.25
  6. Step 6: Final answer
    x = 491,307.46

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.