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Finding the Third Proportional to 196,630 and 300,675

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Solution

The third proportional to 196,630 and 300,675 is: 459,774.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,630 : 300,675 = 300,675 : x
  2. Step 2: Convert to fraction form
    196,630/300,675 = 300,675/x
  3. Step 3: Cross multiply
    196,630x = 300,675 × 300,675
  4. Step 4: Simplify right side
    196,630x = 90,405,455,625
  5. Step 5: Solve for x
    x = 90,405,455,625/196,630
  6. Step 6: Final answer
    x = 459,774.48

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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.