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Finding the Third Proportional to 143,318 and 298,399.50

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Solution

The third proportional to 143,318 and 298,399.50 is: 621,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,318 : 298,399.50 = 298,399.50 : x
  2. Step 2: Convert to fraction form
    143,318/298,399.50 = 298,399.50/x
  3. Step 3: Cross multiply
    143,318x = 298,399.50 × 298,399.50
  4. Step 4: Simplify right side
    143,318x = 89,042,261,600.25
  5. Step 5: Solve for x
    x = 89,042,261,600.25/143,318
  6. Step 6: Final answer
    x = 621,291.54

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.