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Finding the Third Proportional to 155,841 and 339,006

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Solution

The third proportional to 155,841 and 339,006 is: 737,450.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,841 : 339,006 = 339,006 : x
  2. Step 2: Convert to fraction form
    155,841/339,006 = 339,006/x
  3. Step 3: Cross multiply
    155,841x = 339,006 × 339,006
  4. Step 4: Simplify right side
    155,841x = 114,925,068,036
  5. Step 5: Solve for x
    x = 114,925,068,036/155,841
  6. Step 6: Final answer
    x = 737,450.79

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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.