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Finding the Third Proportional to 223,149.94 and 339,951.94

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Solution

The third proportional to 223,149.94 and 339,951.94 is: 517,890.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,149.94 : 339,951.94 = 339,951.94 : x
  2. Step 2: Convert to fraction form
    223,149.94/339,951.94 = 339,951.94/x
  3. Step 3: Cross multiply
    223,149.94x = 339,951.94 × 339,951.94
  4. Step 4: Simplify right side
    223,149.94x = 115,567,319,810.00
  5. Step 5: Solve for x
    x = 115,567,319,810.00/223,149.94
  6. Step 6: Final answer
    x = 517,890.89

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.