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Finding the Third Proportional to 141,754.50 and 217,512

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Solution

The third proportional to 141,754.50 and 217,512 is: 333,756.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,754.50 : 217,512 = 217,512 : x
  2. Step 2: Convert to fraction form
    141,754.50/217,512 = 217,512/x
  3. Step 3: Cross multiply
    141,754.50x = 217,512 × 217,512
  4. Step 4: Simplify right side
    141,754.50x = 47,311,470,144
  5. Step 5: Solve for x
    x = 47,311,470,144/141,754.50
  6. Step 6: Final answer
    x = 333,756.39

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.