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Finding the Third Proportional to 141,579 and 214,182

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Solution

The third proportional to 141,579 and 214,182 is: 324,016.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,579 : 214,182 = 214,182 : x
  2. Step 2: Convert to fraction form
    141,579/214,182 = 214,182/x
  3. Step 3: Cross multiply
    141,579x = 214,182 × 214,182
  4. Step 4: Simplify right side
    141,579x = 45,873,929,124
  5. Step 5: Solve for x
    x = 45,873,929,124/141,579
  6. Step 6: Final answer
    x = 324,016.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.