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Finding the Third Proportional to 197,406 and 434,166

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Solution

The third proportional to 197,406 and 434,166 is: 954,885.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,406 : 434,166 = 434,166 : x
  2. Step 2: Convert to fraction form
    197,406/434,166 = 434,166/x
  3. Step 3: Cross multiply
    197,406x = 434,166 × 434,166
  4. Step 4: Simplify right side
    197,406x = 188,500,115,556
  5. Step 5: Solve for x
    x = 188,500,115,556/197,406
  6. Step 6: Final answer
    x = 954,885.44

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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.