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Finding the Third Proportional to 196,285.50 and 311,323.50

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Solution

The third proportional to 196,285.50 and 311,323.50 is: 493,782.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,285.50 : 311,323.50 = 311,323.50 : x
  2. Step 2: Convert to fraction form
    196,285.50/311,323.50 = 311,323.50/x
  3. Step 3: Cross multiply
    196,285.50x = 311,323.50 × 311,323.50
  4. Step 4: Simplify right side
    196,285.50x = 96,922,321,652.25
  5. Step 5: Solve for x
    x = 96,922,321,652.25/196,285.50
  6. Step 6: Final answer
    x = 493,782.38

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.