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Finding the Third Proportional to 196,776 and 303,885

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Solution

The third proportional to 196,776 and 303,885 is: 469,295.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,776 : 303,885 = 303,885 : x
  2. Step 2: Convert to fraction form
    196,776/303,885 = 303,885/x
  3. Step 3: Cross multiply
    196,776x = 303,885 × 303,885
  4. Step 4: Simplify right side
    196,776x = 92,346,093,225
  5. Step 5: Solve for x
    x = 92,346,093,225/196,776
  6. Step 6: Final answer
    x = 469,295.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.