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Finding the Third Proportional to 197,400 and 434,157

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Solution

The third proportional to 197,400 and 434,157 is: 954,874.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,400 : 434,157 = 434,157 : x
  2. Step 2: Convert to fraction form
    197,400/434,157 = 434,157/x
  3. Step 3: Cross multiply
    197,400x = 434,157 × 434,157
  4. Step 4: Simplify right side
    197,400x = 188,492,300,649
  5. Step 5: Solve for x
    x = 188,492,300,649/197,400
  6. Step 6: Final answer
    x = 954,874.88

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