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Finding the Third Proportional to 197,424 and 434,196

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Solution

The third proportional to 197,424 and 434,196 is: 954,930.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,424 : 434,196 = 434,196 : x
  2. Step 2: Convert to fraction form
    197,424/434,196 = 434,196/x
  3. Step 3: Cross multiply
    197,424x = 434,196 × 434,196
  4. Step 4: Simplify right side
    197,424x = 188,526,166,416
  5. Step 5: Solve for x
    x = 188,526,166,416/197,424
  6. Step 6: Final answer
    x = 954,930.33

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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.