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Finding the Third Proportional to 193,891 and 291,041

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Solution

The third proportional to 193,891 and 291,041 is: 436,868.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,891 : 291,041 = 291,041 : x
  2. Step 2: Convert to fraction form
    193,891/291,041 = 291,041/x
  3. Step 3: Cross multiply
    193,891x = 291,041 × 291,041
  4. Step 4: Simplify right side
    193,891x = 84,704,863,681
  5. Step 5: Solve for x
    x = 84,704,863,681/193,891
  6. Step 6: Final answer
    x = 436,868.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.