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Finding the Third Proportional to 196,951 and 305,542

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Solution

The third proportional to 196,951 and 305,542 is: 474,005.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,951 : 305,542 = 305,542 : x
  2. Step 2: Convert to fraction form
    196,951/305,542 = 305,542/x
  3. Step 3: Cross multiply
    196,951x = 305,542 × 305,542
  4. Step 4: Simplify right side
    196,951x = 93,355,913,764
  5. Step 5: Solve for x
    x = 93,355,913,764/196,951
  6. Step 6: Final answer
    x = 474,005.79

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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.