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Finding the Third Proportional to 147,837 and 231,645.75

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Solution

The third proportional to 147,837 and 231,645.75 is: 362,965.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,837 : 231,645.75 = 231,645.75 : x
  2. Step 2: Convert to fraction form
    147,837/231,645.75 = 231,645.75/x
  3. Step 3: Cross multiply
    147,837x = 231,645.75 × 231,645.75
  4. Step 4: Simplify right side
    147,837x = 53,659,753,493.06
  5. Step 5: Solve for x
    x = 53,659,753,493.06/147,837
  6. Step 6: Final answer
    x = 362,965.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.