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Finding the Third Proportional to 238,626 and 337,194

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Solution

The third proportional to 238,626 and 337,194 is: 476,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,626 : 337,194 = 337,194 : x
  2. Step 2: Convert to fraction form
    238,626/337,194 = 337,194/x
  3. Step 3: Cross multiply
    238,626x = 337,194 × 337,194
  4. Step 4: Simplify right side
    238,626x = 113,699,793,636
  5. Step 5: Solve for x
    x = 113,699,793,636/238,626
  6. Step 6: Final answer
    x = 476,476.97

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.