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Finding the Third Proportional to 135,715.50 and 219,408.75

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Solution

The third proportional to 135,715.50 and 219,408.75 is: 354,714.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,715.50 : 219,408.75 = 219,408.75 : x
  2. Step 2: Convert to fraction form
    135,715.50/219,408.75 = 219,408.75/x
  3. Step 3: Cross multiply
    135,715.50x = 219,408.75 × 219,408.75
  4. Step 4: Simplify right side
    135,715.50x = 48,140,199,576.56
  5. Step 5: Solve for x
    x = 48,140,199,576.56/135,715.50
  6. Step 6: Final answer
    x = 354,714.09

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These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.