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Finding the Third Proportional to 196,828 and 305,610

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Solution

The third proportional to 196,828 and 305,610 is: 474,513.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,828 : 305,610 = 305,610 : x
  2. Step 2: Convert to fraction form
    196,828/305,610 = 305,610/x
  3. Step 3: Cross multiply
    196,828x = 305,610 × 305,610
  4. Step 4: Simplify right side
    196,828x = 93,397,472,100
  5. Step 5: Solve for x
    x = 93,397,472,100/196,828
  6. Step 6: Final answer
    x = 474,513.14

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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.