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Finding the Third Proportional to 70,327.41 and 165,912.47

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Solution

The third proportional to 70,327.41 and 165,912.47 is: 391,411.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,327.41 : 165,912.47 = 165,912.47 : x
  2. Step 2: Convert to fraction form
    70,327.41/165,912.47 = 165,912.47/x
  3. Step 3: Cross multiply
    70,327.41x = 165,912.47 × 165,912.47
  4. Step 4: Simplify right side
    70,327.41x = 27,526,947,286.72
  5. Step 5: Solve for x
    x = 27,526,947,286.72/70,327.41
  6. Step 6: Final answer
    x = 391,411.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.