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Finding the Third Proportional to 155,843 and 339,010

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Solution

The third proportional to 155,843 and 339,010 is: 737,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,843 : 339,010 = 339,010 : x
  2. Step 2: Convert to fraction form
    155,843/339,010 = 339,010/x
  3. Step 3: Cross multiply
    155,843x = 339,010 × 339,010
  4. Step 4: Simplify right side
    155,843x = 114,927,780,100
  5. Step 5: Solve for x
    x = 114,927,780,100/155,843
  6. Step 6: Final answer
    x = 737,458.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.