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Finding the Third Proportional to 141,797 and 212,694

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Solution

The third proportional to 141,797 and 212,694 is: 319,038.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,797 : 212,694 = 212,694 : x
  2. Step 2: Convert to fraction form
    141,797/212,694 = 212,694/x
  3. Step 3: Cross multiply
    141,797x = 212,694 × 212,694
  4. Step 4: Simplify right side
    141,797x = 45,238,737,636
  5. Step 5: Solve for x
    x = 45,238,737,636/141,797
  6. Step 6: Final answer
    x = 319,038.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.