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Finding the Third Proportional to 161,796.38 and 253,257.38

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Solution

The third proportional to 161,796.38 and 253,257.38 is: 396,419.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,796.38 : 253,257.38 = 253,257.38 : x
  2. Step 2: Convert to fraction form
    161,796.38/253,257.38 = 253,257.38/x
  3. Step 3: Cross multiply
    161,796.38x = 253,257.38 × 253,257.38
  4. Step 4: Simplify right side
    161,796.38x = 64,139,297,991.89
  5. Step 5: Solve for x
    x = 64,139,297,991.89/161,796.38
  6. Step 6: Final answer
    x = 396,419.87

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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.