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Finding the Third Proportional to 175,905 and 379,161

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Solution

The third proportional to 175,905 and 379,161 is: 817,276.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,905 : 379,161 = 379,161 : x
  2. Step 2: Convert to fraction form
    175,905/379,161 = 379,161/x
  3. Step 3: Cross multiply
    175,905x = 379,161 × 379,161
  4. Step 4: Simplify right side
    175,905x = 143,763,063,921
  5. Step 5: Solve for x
    x = 143,763,063,921/175,905
  6. Step 6: Final answer
    x = 817,276.73

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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.