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Finding the Third Proportional to 212,305.50 and 331,377.75

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Solution

The third proportional to 212,305.50 and 331,377.75 is: 517,232.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,305.50 : 331,377.75 = 331,377.75 : x
  2. Step 2: Convert to fraction form
    212,305.50/331,377.75 = 331,377.75/x
  3. Step 3: Cross multiply
    212,305.50x = 331,377.75 × 331,377.75
  4. Step 4: Simplify right side
    212,305.50x = 109,811,213,195.06
  5. Step 5: Solve for x
    x = 109,811,213,195.06/212,305.50
  6. Step 6: Final answer
    x = 517,232.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.