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Finding the Third Proportional to 196,668 and 295,194

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Solution

The third proportional to 196,668 and 295,194 is: 443,079.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,668 : 295,194 = 295,194 : x
  2. Step 2: Convert to fraction form
    196,668/295,194 = 295,194/x
  3. Step 3: Cross multiply
    196,668x = 295,194 × 295,194
  4. Step 4: Simplify right side
    196,668x = 87,139,497,636
  5. Step 5: Solve for x
    x = 87,139,497,636/196,668
  6. Step 6: Final answer
    x = 443,079.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.