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Finding the Third Proportional to 141,797 and 219,667

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Solution

The third proportional to 141,797 and 219,667 is: 340,300.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,797 : 219,667 = 219,667 : x
  2. Step 2: Convert to fraction form
    141,797/219,667 = 219,667/x
  3. Step 3: Cross multiply
    141,797x = 219,667 × 219,667
  4. Step 4: Simplify right side
    141,797x = 48,253,590,889
  5. Step 5: Solve for x
    x = 48,253,590,889/141,797
  6. Step 6: Final answer
    x = 340,300.51

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.