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Finding the Third Proportional to 214,634.50 and 339,789.50

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Solution

The third proportional to 214,634.50 and 339,789.50 is: 537,923.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,634.50 : 339,789.50 = 339,789.50 : x
  2. Step 2: Convert to fraction form
    214,634.50/339,789.50 = 339,789.50/x
  3. Step 3: Cross multiply
    214,634.50x = 339,789.50 × 339,789.50
  4. Step 4: Simplify right side
    214,634.50x = 115,456,904,310.25
  5. Step 5: Solve for x
    x = 115,456,904,310.25/214,634.50
  6. Step 6: Final answer
    x = 537,923.33

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.