Finding the Third Proportional to 199,684 and 300,340
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Solution
The third proportional to 199,684 and 300,340 is: 451,734.32
Step by Step Solution
- Step 1: Write the proportion equation
199,684 : 300,340 = 300,340 : x - Step 2: Convert to fraction form
199,684/300,340 = 300,340/x - Step 3: Cross multiply
199,684x = 300,340 × 300,340 - Step 4: Simplify right side
199,684x = 90,204,115,600 - Step 5: Solve for x
x = 90,204,115,600/199,684 - Step 6: Final answer
x = 451,734.32
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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.