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Finding the Third Proportional to 234,846 and 378,126

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Solution

The third proportional to 234,846 and 378,126 is: 608,821.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,846 : 378,126 = 378,126 : x
  2. Step 2: Convert to fraction form
    234,846/378,126 = 378,126/x
  3. Step 3: Cross multiply
    234,846x = 378,126 × 378,126
  4. Step 4: Simplify right side
    234,846x = 142,979,271,876
  5. Step 5: Solve for x
    x = 142,979,271,876/234,846
  6. Step 6: Final answer
    x = 608,821.41

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.