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Finding the Third Proportional to 94,241.50 and 204,839

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Solution

The third proportional to 94,241.50 and 204,839 is: 445,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,241.50 : 204,839 = 204,839 : x
  2. Step 2: Convert to fraction form
    94,241.50/204,839 = 204,839/x
  3. Step 3: Cross multiply
    94,241.50x = 204,839 × 204,839
  4. Step 4: Simplify right side
    94,241.50x = 41,959,015,921
  5. Step 5: Solve for x
    x = 41,959,015,921/94,241.50
  6. Step 6: Final answer
    x = 445,228.65

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.