Finding the Third Proportional to 211,923 and 317,884
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Solution
The third proportional to 211,923 and 317,884 is: 476,825.25
Step by Step Solution
- Step 1: Write the proportion equation
211,923 : 317,884 = 317,884 : x - Step 2: Convert to fraction form
211,923/317,884 = 317,884/x - Step 3: Cross multiply
211,923x = 317,884 × 317,884 - Step 4: Simplify right side
211,923x = 101,050,237,456 - Step 5: Solve for x
x = 101,050,237,456/211,923 - Step 6: Final answer
x = 476,825.25
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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.