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Finding the Third Proportional to 175,494 and 379,009

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Solution

The third proportional to 175,494 and 379,009 is: 818,534.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,494 : 379,009 = 379,009 : x
  2. Step 2: Convert to fraction form
    175,494/379,009 = 379,009/x
  3. Step 3: Cross multiply
    175,494x = 379,009 × 379,009
  4. Step 4: Simplify right side
    175,494x = 143,647,822,081
  5. Step 5: Solve for x
    x = 143,647,822,081/175,494
  6. Step 6: Final answer
    x = 818,534.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.