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Finding the Third Proportional to 214,979.50 and 300,680

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Solution

The third proportional to 214,979.50 and 300,680 is: 420,544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,979.50 : 300,680 = 300,680 : x
  2. Step 2: Convert to fraction form
    214,979.50/300,680 = 300,680/x
  3. Step 3: Cross multiply
    214,979.50x = 300,680 × 300,680
  4. Step 4: Simplify right side
    214,979.50x = 90,408,462,400
  5. Step 5: Solve for x
    x = 90,408,462,400/214,979.50
  6. Step 6: Final answer
    x = 420,544.57

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.