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Finding the Third Proportional to 178,845 and 372,378

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Solution

The third proportional to 178,845 and 372,378 is: 775,338.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,845 : 372,378 = 372,378 : x
  2. Step 2: Convert to fraction form
    178,845/372,378 = 372,378/x
  3. Step 3: Cross multiply
    178,845x = 372,378 × 372,378
  4. Step 4: Simplify right side
    178,845x = 138,665,374,884
  5. Step 5: Solve for x
    x = 138,665,374,884/178,845
  6. Step 6: Final answer
    x = 775,338.28

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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.