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Finding the Third Proportional to 175,524 and 379,016

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Solution

The third proportional to 175,524 and 379,016 is: 818,424.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,524 : 379,016 = 379,016 : x
  2. Step 2: Convert to fraction form
    175,524/379,016 = 379,016/x
  3. Step 3: Cross multiply
    175,524x = 379,016 × 379,016
  4. Step 4: Simplify right side
    175,524x = 143,653,128,256
  5. Step 5: Solve for x
    x = 143,653,128,256/175,524
  6. Step 6: Final answer
    x = 818,424.42

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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.