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Finding the Third Proportional to 182,064 and 372,874

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Solution

The third proportional to 182,064 and 372,874 is: 763,660.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,064 : 372,874 = 372,874 : x
  2. Step 2: Convert to fraction form
    182,064/372,874 = 372,874/x
  3. Step 3: Cross multiply
    182,064x = 372,874 × 372,874
  4. Step 4: Simplify right side
    182,064x = 139,035,019,876
  5. Step 5: Solve for x
    x = 139,035,019,876/182,064
  6. Step 6: Final answer
    x = 763,660.14

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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.