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Finding the Third Proportional to 172,003.50 and 404,709.75

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Solution

The third proportional to 172,003.50 and 404,709.75 is: 952,247.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,003.50 : 404,709.75 = 404,709.75 : x
  2. Step 2: Convert to fraction form
    172,003.50/404,709.75 = 404,709.75/x
  3. Step 3: Cross multiply
    172,003.50x = 404,709.75 × 404,709.75
  4. Step 4: Simplify right side
    172,003.50x = 163,789,981,745.06
  5. Step 5: Solve for x
    x = 163,789,981,745.06/172,003.50
  6. Step 6: Final answer
    x = 952,247.96

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.