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Finding the Third Proportional to 197,405 and 434,167

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Solution

The third proportional to 197,405 and 434,167 is: 954,894.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,405 : 434,167 = 434,167 : x
  2. Step 2: Convert to fraction form
    197,405/434,167 = 434,167/x
  3. Step 3: Cross multiply
    197,405x = 434,167 × 434,167
  4. Step 4: Simplify right side
    197,405x = 188,500,983,889
  5. Step 5: Solve for x
    x = 188,500,983,889/197,405
  6. Step 6: Final answer
    x = 954,894.68

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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.