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Finding the Third Proportional to 172,408.50 and 230,100.75

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Solution

The third proportional to 172,408.50 and 230,100.75 is: 307,098.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,408.50 : 230,100.75 = 230,100.75 : x
  2. Step 2: Convert to fraction form
    172,408.50/230,100.75 = 230,100.75/x
  3. Step 3: Cross multiply
    172,408.50x = 230,100.75 × 230,100.75
  4. Step 4: Simplify right side
    172,408.50x = 52,946,355,150.56
  5. Step 5: Solve for x
    x = 52,946,355,150.56/172,408.50
  6. Step 6: Final answer
    x = 307,098.29

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.