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Finding the Third Proportional to 182,064 and 372,876

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Solution

The third proportional to 182,064 and 372,876 is: 763,668.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,064 : 372,876 = 372,876 : x
  2. Step 2: Convert to fraction form
    182,064/372,876 = 372,876/x
  3. Step 3: Cross multiply
    182,064x = 372,876 × 372,876
  4. Step 4: Simplify right side
    182,064x = 139,036,511,376
  5. Step 5: Solve for x
    x = 139,036,511,376/182,064
  6. Step 6: Final answer
    x = 763,668.33

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.