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Finding the Third Proportional to 199,172 and 298,974

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Solution

The third proportional to 199,172 and 298,974 is: 448,785.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,172 : 298,974 = 298,974 : x
  2. Step 2: Convert to fraction form
    199,172/298,974 = 298,974/x
  3. Step 3: Cross multiply
    199,172x = 298,974 × 298,974
  4. Step 4: Simplify right side
    199,172x = 89,385,452,676
  5. Step 5: Solve for x
    x = 89,385,452,676/199,172
  6. Step 6: Final answer
    x = 448,785.23

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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.