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Finding the Third Proportional to 161,958.38 and 378,353.25

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Solution

The third proportional to 161,958.38 and 378,353.25 is: 883,876.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,958.38 : 378,353.25 = 378,353.25 : x
  2. Step 2: Convert to fraction form
    161,958.38/378,353.25 = 378,353.25/x
  3. Step 3: Cross multiply
    161,958.38x = 378,353.25 × 378,353.25
  4. Step 4: Simplify right side
    161,958.38x = 143,151,181,785.56
  5. Step 5: Solve for x
    x = 143,151,181,785.56/161,958.38
  6. Step 6: Final answer
    x = 883,876.38

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.