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Finding the Third Proportional to 193,219.50 and 284,231.25

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Solution

The third proportional to 193,219.50 and 284,231.25 is: 418,112.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,219.50 : 284,231.25 = 284,231.25 : x
  2. Step 2: Convert to fraction form
    193,219.50/284,231.25 = 284,231.25/x
  3. Step 3: Cross multiply
    193,219.50x = 284,231.25 × 284,231.25
  4. Step 4: Simplify right side
    193,219.50x = 80,787,403,476.56
  5. Step 5: Solve for x
    x = 80,787,403,476.56/193,219.50
  6. Step 6: Final answer
    x = 418,112.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.