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Finding the Third Proportional to 69,433 and 151,790

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Solution

The third proportional to 69,433 and 151,790 is: 331,833.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,433 : 151,790 = 151,790 : x
  2. Step 2: Convert to fraction form
    69,433/151,790 = 151,790/x
  3. Step 3: Cross multiply
    69,433x = 151,790 × 151,790
  4. Step 4: Simplify right side
    69,433x = 23,040,204,100
  5. Step 5: Solve for x
    x = 23,040,204,100/69,433
  6. Step 6: Final answer
    x = 331,833.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.