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Finding the Third Proportional to 196,184 and 303,713

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Solution

The third proportional to 196,184 and 303,713 is: 470,178.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,184 : 303,713 = 303,713 : x
  2. Step 2: Convert to fraction form
    196,184/303,713 = 303,713/x
  3. Step 3: Cross multiply
    196,184x = 303,713 × 303,713
  4. Step 4: Simplify right side
    196,184x = 92,241,586,369
  5. Step 5: Solve for x
    x = 92,241,586,369/196,184
  6. Step 6: Final answer
    x = 470,178.95

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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.