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Finding the Third Proportional to 155,227.50 and 339,513.75

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Solution

The third proportional to 155,227.50 and 339,513.75 is: 742,584.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,227.50 : 339,513.75 = 339,513.75 : x
  2. Step 2: Convert to fraction form
    155,227.50/339,513.75 = 339,513.75/x
  3. Step 3: Cross multiply
    155,227.50x = 339,513.75 × 339,513.75
  4. Step 4: Simplify right side
    155,227.50x = 115,269,586,439.06
  5. Step 5: Solve for x
    x = 115,269,586,439.06/155,227.50
  6. Step 6: Final answer
    x = 742,584.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.