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Finding the Third Proportional to 223,096.25 and 339,872.25

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Solution

The third proportional to 223,096.25 and 339,872.25 is: 517,772.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,096.25 : 339,872.25 = 339,872.25 : x
  2. Step 2: Convert to fraction form
    223,096.25/339,872.25 = 339,872.25/x
  3. Step 3: Cross multiply
    223,096.25x = 339,872.25 × 339,872.25
  4. Step 4: Simplify right side
    223,096.25x = 115,513,146,320.06
  5. Step 5: Solve for x
    x = 115,513,146,320.06/223,096.25
  6. Step 6: Final answer
    x = 517,772.69

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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.