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Finding the Third Proportional to 178,867.50 and 372,327

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Solution

The third proportional to 178,867.50 and 372,327 is: 775,028.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,867.50 : 372,327 = 372,327 : x
  2. Step 2: Convert to fraction form
    178,867.50/372,327 = 372,327/x
  3. Step 3: Cross multiply
    178,867.50x = 372,327 × 372,327
  4. Step 4: Simplify right side
    178,867.50x = 138,627,394,929
  5. Step 5: Solve for x
    x = 138,627,394,929/178,867.50
  6. Step 6: Final answer
    x = 775,028.41

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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.