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Finding the Third Proportional to 196,216 and 303,756

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Solution

The third proportional to 196,216 and 303,756 is: 470,235.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,216 : 303,756 = 303,756 : x
  2. Step 2: Convert to fraction form
    196,216/303,756 = 303,756/x
  3. Step 3: Cross multiply
    196,216x = 303,756 × 303,756
  4. Step 4: Simplify right side
    196,216x = 92,267,707,536
  5. Step 5: Solve for x
    x = 92,267,707,536/196,216
  6. Step 6: Final answer
    x = 470,235.39

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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.