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Finding the Third Proportional to 199,171 and 298,972.50

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Solution

The third proportional to 199,171 and 298,972.50 is: 448,782.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,171 : 298,972.50 = 298,972.50 : x
  2. Step 2: Convert to fraction form
    199,171/298,972.50 = 298,972.50/x
  3. Step 3: Cross multiply
    199,171x = 298,972.50 × 298,972.50
  4. Step 4: Simplify right side
    199,171x = 89,384,555,756.25
  5. Step 5: Solve for x
    x = 89,384,555,756.25/199,171
  6. Step 6: Final answer
    x = 448,782.98

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.