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Finding the Third Proportional to 177,771 and 362,694

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Solution

The third proportional to 177,771 and 362,694 is: 739,979.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,771 : 362,694 = 362,694 : x
  2. Step 2: Convert to fraction form
    177,771/362,694 = 362,694/x
  3. Step 3: Cross multiply
    177,771x = 362,694 × 362,694
  4. Step 4: Simplify right side
    177,771x = 131,546,937,636
  5. Step 5: Solve for x
    x = 131,546,937,636/177,771
  6. Step 6: Final answer
    x = 739,979.74

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.