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Finding the Third Proportional to 196,802 and 305,571

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Solution

The third proportional to 196,802 and 305,571 is: 474,454.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,802 : 305,571 = 305,571 : x
  2. Step 2: Convert to fraction form
    196,802/305,571 = 305,571/x
  3. Step 3: Cross multiply
    196,802x = 305,571 × 305,571
  4. Step 4: Simplify right side
    196,802x = 93,373,636,041
  5. Step 5: Solve for x
    x = 93,373,636,041/196,802
  6. Step 6: Final answer
    x = 474,454.71

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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.