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Finding the Third Proportional to 175,067 and 384,029

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Solution

The third proportional to 175,067 and 384,029 is: 842,410.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,067 : 384,029 = 384,029 : x
  2. Step 2: Convert to fraction form
    175,067/384,029 = 384,029/x
  3. Step 3: Cross multiply
    175,067x = 384,029 × 384,029
  4. Step 4: Simplify right side
    175,067x = 147,478,272,841
  5. Step 5: Solve for x
    x = 147,478,272,841/175,067
  6. Step 6: Final answer
    x = 842,410.46

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.