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Finding the Third Proportional to 175,455 and 380,067.75

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Solution

The third proportional to 175,455 and 380,067.75 is: 823,296.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,455 : 380,067.75 = 380,067.75 : x
  2. Step 2: Convert to fraction form
    175,455/380,067.75 = 380,067.75/x
  3. Step 3: Cross multiply
    175,455x = 380,067.75 × 380,067.75
  4. Step 4: Simplify right side
    175,455x = 144,451,494,590.06
  5. Step 5: Solve for x
    x = 144,451,494,590.06/175,455
  6. Step 6: Final answer
    x = 823,296.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.