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Finding the Third Proportional to 196,632 and 300,678

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Solution

The third proportional to 196,632 and 300,678 is: 459,778.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,632 : 300,678 = 300,678 : x
  2. Step 2: Convert to fraction form
    196,632/300,678 = 300,678/x
  3. Step 3: Cross multiply
    196,632x = 300,678 × 300,678
  4. Step 4: Simplify right side
    196,632x = 90,407,259,684
  5. Step 5: Solve for x
    x = 90,407,259,684/196,632
  6. Step 6: Final answer
    x = 459,778.98

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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.