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Finding the Third Proportional to 214,785.75 and 424,149

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Solution

The third proportional to 214,785.75 and 424,149 is: 837,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,785.75 : 424,149 = 424,149 : x
  2. Step 2: Convert to fraction form
    214,785.75/424,149 = 424,149/x
  3. Step 3: Cross multiply
    214,785.75x = 424,149 × 424,149
  4. Step 4: Simplify right side
    214,785.75x = 179,902,374,201
  5. Step 5: Solve for x
    x = 179,902,374,201/214,785.75
  6. Step 6: Final answer
    x = 837,589.90

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.