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Finding the Third Proportional to 196,804 and 305,574

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Solution

The third proportional to 196,804 and 305,574 is: 474,459.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,804 : 305,574 = 305,574 : x
  2. Step 2: Convert to fraction form
    196,804/305,574 = 305,574/x
  3. Step 3: Cross multiply
    196,804x = 305,574 × 305,574
  4. Step 4: Simplify right side
    196,804x = 93,375,469,476
  5. Step 5: Solve for x
    x = 93,375,469,476/196,804
  6. Step 6: Final answer
    x = 474,459.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.