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Finding the Third Proportional to 178,505 and 371,794

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Solution

The third proportional to 178,505 and 371,794 is: 774,380.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,505 : 371,794 = 371,794 : x
  2. Step 2: Convert to fraction form
    178,505/371,794 = 371,794/x
  3. Step 3: Cross multiply
    178,505x = 371,794 × 371,794
  4. Step 4: Simplify right side
    178,505x = 138,230,778,436
  5. Step 5: Solve for x
    x = 138,230,778,436/178,505
  6. Step 6: Final answer
    x = 774,380.43

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.