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Finding the Third Proportional to 223,115.63 and 339,902.44

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Solution

The third proportional to 223,115.63 and 339,902.44 is: 517,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,115.63 : 339,902.44 = 339,902.44 : x
  2. Step 2: Convert to fraction form
    223,115.63/339,902.44 = 339,902.44/x
  3. Step 3: Cross multiply
    223,115.63x = 339,902.44 × 339,902.44
  4. Step 4: Simplify right side
    223,115.63x = 115,533,667,018.44
  5. Step 5: Solve for x
    x = 115,533,667,018.44/223,115.63
  6. Step 6: Final answer
    x = 517,819.70

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