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Finding the Third Proportional to 197,290 and 434,795

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Solution

The third proportional to 197,290 and 434,795 is: 958,217.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,290 : 434,795 = 434,795 : x
  2. Step 2: Convert to fraction form
    197,290/434,795 = 434,795/x
  3. Step 3: Cross multiply
    197,290x = 434,795 × 434,795
  4. Step 4: Simplify right side
    197,290x = 189,046,692,025
  5. Step 5: Solve for x
    x = 189,046,692,025/197,290
  6. Step 6: Final answer
    x = 958,217.30

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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.