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Finding the Third Proportional to 193,806 and 283,041

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Solution

The third proportional to 193,806 and 283,041 is: 413,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,806 : 283,041 = 283,041 : x
  2. Step 2: Convert to fraction form
    193,806/283,041 = 283,041/x
  3. Step 3: Cross multiply
    193,806x = 283,041 × 283,041
  4. Step 4: Simplify right side
    193,806x = 80,112,207,681
  5. Step 5: Solve for x
    x = 80,112,207,681/193,806
  6. Step 6: Final answer
    x = 413,362.89

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.