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Finding the Third Proportional to 193,738 and 290,806

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Solution

The third proportional to 193,738 and 290,806 is: 436,507.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,738 : 290,806 = 290,806 : x
  2. Step 2: Convert to fraction form
    193,738/290,806 = 290,806/x
  3. Step 3: Cross multiply
    193,738x = 290,806 × 290,806
  4. Step 4: Simplify right side
    193,738x = 84,568,129,636
  5. Step 5: Solve for x
    x = 84,568,129,636/193,738
  6. Step 6: Final answer
    x = 436,507.70

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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.