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Finding the Third Proportional to 179,524 and 378,488

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Solution

The third proportional to 179,524 and 378,488 is: 797,961.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,524 : 378,488 = 378,488 : x
  2. Step 2: Convert to fraction form
    179,524/378,488 = 378,488/x
  3. Step 3: Cross multiply
    179,524x = 378,488 × 378,488
  4. Step 4: Simplify right side
    179,524x = 143,253,166,144
  5. Step 5: Solve for x
    x = 143,253,166,144/179,524
  6. Step 6: Final answer
    x = 797,961.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.