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Finding the Third Proportional to 195,092 and 291,806

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Solution

The third proportional to 195,092 and 291,806 is: 436,464.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,092 : 291,806 = 291,806 : x
  2. Step 2: Convert to fraction form
    195,092/291,806 = 291,806/x
  3. Step 3: Cross multiply
    195,092x = 291,806 × 291,806
  4. Step 4: Simplify right side
    195,092x = 85,150,741,636
  5. Step 5: Solve for x
    x = 85,150,741,636/195,092
  6. Step 6: Final answer
    x = 436,464.55

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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.