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Finding the Third Proportional to 141,914 and 218,195

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Solution

The third proportional to 141,914 and 218,195 is: 335,478.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,914 : 218,195 = 218,195 : x
  2. Step 2: Convert to fraction form
    141,914/218,195 = 218,195/x
  3. Step 3: Cross multiply
    141,914x = 218,195 × 218,195
  4. Step 4: Simplify right side
    141,914x = 47,609,058,025
  5. Step 5: Solve for x
    x = 47,609,058,025/141,914
  6. Step 6: Final answer
    x = 335,478.23

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.