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Finding the Third Proportional to 196,670 and 295,197

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Solution

The third proportional to 196,670 and 295,197 is: 443,083.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,670 : 295,197 = 295,197 : x
  2. Step 2: Convert to fraction form
    196,670/295,197 = 295,197/x
  3. Step 3: Cross multiply
    196,670x = 295,197 × 295,197
  4. Step 4: Simplify right side
    196,670x = 87,141,268,809
  5. Step 5: Solve for x
    x = 87,141,268,809/196,670
  6. Step 6: Final answer
    x = 443,083.69

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Why These Related Problems?

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