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Finding the Third Proportional to 197,381 and 434,125

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Solution

The third proportional to 197,381 and 434,125 is: 954,826.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,381 : 434,125 = 434,125 : x
  2. Step 2: Convert to fraction form
    197,381/434,125 = 434,125/x
  3. Step 3: Cross multiply
    197,381x = 434,125 × 434,125
  4. Step 4: Simplify right side
    197,381x = 188,464,515,625
  5. Step 5: Solve for x
    x = 188,464,515,625/197,381
  6. Step 6: Final answer
    x = 954,826.02

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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.