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Finding the Third Proportional to 196,586 and 300,610

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Solution

The third proportional to 196,586 and 300,610 is: 459,678.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,586 : 300,610 = 300,610 : x
  2. Step 2: Convert to fraction form
    196,586/300,610 = 300,610/x
  3. Step 3: Cross multiply
    196,586x = 300,610 × 300,610
  4. Step 4: Simplify right side
    196,586x = 90,366,372,100
  5. Step 5: Solve for x
    x = 90,366,372,100/196,586
  6. Step 6: Final answer
    x = 459,678.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.