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Finding the Third Proportional to 197,396 and 434,156

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Solution

The third proportional to 197,396 and 434,156 is: 954,889.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,396 : 434,156 = 434,156 : x
  2. Step 2: Convert to fraction form
    197,396/434,156 = 434,156/x
  3. Step 3: Cross multiply
    197,396x = 434,156 × 434,156
  4. Step 4: Simplify right side
    197,396x = 188,491,432,336
  5. Step 5: Solve for x
    x = 188,491,432,336/197,396
  6. Step 6: Final answer
    x = 954,889.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.