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Finding the Third Proportional to 196,822 and 305,601

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Solution

The third proportional to 196,822 and 305,601 is: 474,499.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,822 : 305,601 = 305,601 : x
  2. Step 2: Convert to fraction form
    196,822/305,601 = 305,601/x
  3. Step 3: Cross multiply
    196,822x = 305,601 × 305,601
  4. Step 4: Simplify right side
    196,822x = 93,391,971,201
  5. Step 5: Solve for x
    x = 93,391,971,201/196,822
  6. Step 6: Final answer
    x = 474,499.66

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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.