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Finding the Third Proportional to 155,378 and 339,916

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Solution

The third proportional to 155,378 and 339,916 is: 743,624.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,378 : 339,916 = 339,916 : x
  2. Step 2: Convert to fraction form
    155,378/339,916 = 339,916/x
  3. Step 3: Cross multiply
    155,378x = 339,916 × 339,916
  4. Step 4: Simplify right side
    155,378x = 115,542,887,056
  5. Step 5: Solve for x
    x = 115,542,887,056/155,378
  6. Step 6: Final answer
    x = 743,624.50

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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.