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Finding the Third Proportional to 175,067 and 384,031

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Solution

The third proportional to 175,067 and 384,031 is: 842,419.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,067 : 384,031 = 384,031 : x
  2. Step 2: Convert to fraction form
    175,067/384,031 = 384,031/x
  3. Step 3: Cross multiply
    175,067x = 384,031 × 384,031
  4. Step 4: Simplify right side
    175,067x = 147,479,808,961
  5. Step 5: Solve for x
    x = 147,479,808,961/175,067
  6. Step 6: Final answer
    x = 842,419.24

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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.