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Finding the Third Proportional to 196,830 and 295,195

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Solution

The third proportional to 196,830 and 295,195 is: 442,717.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,830 : 295,195 = 295,195 : x
  2. Step 2: Convert to fraction form
    196,830/295,195 = 295,195/x
  3. Step 3: Cross multiply
    196,830x = 295,195 × 295,195
  4. Step 4: Simplify right side
    196,830x = 87,140,088,025
  5. Step 5: Solve for x
    x = 87,140,088,025/196,830
  6. Step 6: Final answer
    x = 442,717.51

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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.