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Finding the Third Proportional to 191,671 and 420,249

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Solution

The third proportional to 191,671 and 420,249 is: 921,418.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,671 : 420,249 = 420,249 : x
  2. Step 2: Convert to fraction form
    191,671/420,249 = 420,249/x
  3. Step 3: Cross multiply
    191,671x = 420,249 × 420,249
  4. Step 4: Simplify right side
    191,671x = 176,609,222,001
  5. Step 5: Solve for x
    x = 176,609,222,001/191,671
  6. Step 6: Final answer
    x = 921,418.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.