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Finding the Third Proportional to 174,511 and 379,924

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Solution

The third proportional to 174,511 and 379,924 is: 827,124.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,511 : 379,924 = 379,924 : x
  2. Step 2: Convert to fraction form
    174,511/379,924 = 379,924/x
  3. Step 3: Cross multiply
    174,511x = 379,924 × 379,924
  4. Step 4: Simplify right side
    174,511x = 144,342,245,776
  5. Step 5: Solve for x
    x = 144,342,245,776/174,511
  6. Step 6: Final answer
    x = 827,124.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.