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Finding the Third Proportional to 196,786 and 295,218

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Solution

The third proportional to 196,786 and 295,218 is: 442,885.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,786 : 295,218 = 295,218 : x
  2. Step 2: Convert to fraction form
    196,786/295,218 = 295,218/x
  3. Step 3: Cross multiply
    196,786x = 295,218 × 295,218
  4. Step 4: Simplify right side
    196,786x = 87,153,667,524
  5. Step 5: Solve for x
    x = 87,153,667,524/196,786
  6. Step 6: Final answer
    x = 442,885.51

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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.