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Finding the Third Proportional to 210,671 and 298,092

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Solution

The third proportional to 210,671 and 298,092 is: 421,789.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,671 : 298,092 = 298,092 : x
  2. Step 2: Convert to fraction form
    210,671/298,092 = 298,092/x
  3. Step 3: Cross multiply
    210,671x = 298,092 × 298,092
  4. Step 4: Simplify right side
    210,671x = 88,858,840,464
  5. Step 5: Solve for x
    x = 88,858,840,464/210,671
  6. Step 6: Final answer
    x = 421,789.62

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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.