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Finding the Third Proportional to 180,873 and 392,874

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Solution

The third proportional to 180,873 and 392,874 is: 853,361.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,873 : 392,874 = 392,874 : x
  2. Step 2: Convert to fraction form
    180,873/392,874 = 392,874/x
  3. Step 3: Cross multiply
    180,873x = 392,874 × 392,874
  4. Step 4: Simplify right side
    180,873x = 154,349,979,876
  5. Step 5: Solve for x
    x = 154,349,979,876/180,873
  6. Step 6: Final answer
    x = 853,361.09

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.