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Finding the Third Proportional to 162,214 and 378,874

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Solution

The third proportional to 162,214 and 378,874 is: 884,914.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,214 : 378,874 = 378,874 : x
  2. Step 2: Convert to fraction form
    162,214/378,874 = 378,874/x
  3. Step 3: Cross multiply
    162,214x = 378,874 × 378,874
  4. Step 4: Simplify right side
    162,214x = 143,545,507,876
  5. Step 5: Solve for x
    x = 143,545,507,876/162,214
  6. Step 6: Final answer
    x = 884,914.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.