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Finding the Third Proportional to 161,997.75 and 228,030.75

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Solution

The third proportional to 161,997.75 and 228,030.75 is: 320,979.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,997.75 : 228,030.75 = 228,030.75 : x
  2. Step 2: Convert to fraction form
    161,997.75/228,030.75 = 228,030.75/x
  3. Step 3: Cross multiply
    161,997.75x = 228,030.75 × 228,030.75
  4. Step 4: Simplify right side
    161,997.75x = 51,998,022,945.56
  5. Step 5: Solve for x
    x = 51,998,022,945.56/161,997.75
  6. Step 6: Final answer
    x = 320,979.91

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.