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Finding the Third Proportional to 196,753.50 and 434,856

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Solution

The third proportional to 196,753.50 and 434,856 is: 961,099.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,753.50 : 434,856 = 434,856 : x
  2. Step 2: Convert to fraction form
    196,753.50/434,856 = 434,856/x
  3. Step 3: Cross multiply
    196,753.50x = 434,856 × 434,856
  4. Step 4: Simplify right side
    196,753.50x = 189,099,740,736
  5. Step 5: Solve for x
    x = 189,099,740,736/196,753.50
  6. Step 6: Final answer
    x = 961,099.76

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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.