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Finding the Third Proportional to 175,395 and 378,857

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Solution

The third proportional to 175,395 and 378,857 is: 818,339.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,395 : 378,857 = 378,857 : x
  2. Step 2: Convert to fraction form
    175,395/378,857 = 378,857/x
  3. Step 3: Cross multiply
    175,395x = 378,857 × 378,857
  4. Step 4: Simplify right side
    175,395x = 143,532,626,449
  5. Step 5: Solve for x
    x = 143,532,626,449/175,395
  6. Step 6: Final answer
    x = 818,339.33

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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.