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Finding the Third Proportional to 149,886 and 194,462

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Solution

The third proportional to 149,886 and 194,462 is: 252,294.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,886 : 194,462 = 194,462 : x
  2. Step 2: Convert to fraction form
    149,886/194,462 = 194,462/x
  3. Step 3: Cross multiply
    149,886x = 194,462 × 194,462
  4. Step 4: Simplify right side
    149,886x = 37,815,469,444
  5. Step 5: Solve for x
    x = 37,815,469,444/149,886
  6. Step 6: Final answer
    x = 252,294.87

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.