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Finding the Third Proportional to 141,912 and 211,638

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Solution

The third proportional to 141,912 and 211,638 is: 315,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,912 : 211,638 = 211,638 : x
  2. Step 2: Convert to fraction form
    141,912/211,638 = 211,638/x
  3. Step 3: Cross multiply
    141,912x = 211,638 × 211,638
  4. Step 4: Simplify right side
    141,912x = 44,790,643,044
  5. Step 5: Solve for x
    x = 44,790,643,044/141,912
  6. Step 6: Final answer
    x = 315,622.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.