Finding the Third Proportional to 206,149.50 and 447,549
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Solution
The third proportional to 206,149.50 and 447,549 is: 971,625.48
Step by Step Solution
- Step 1: Write the proportion equation
206,149.50 : 447,549 = 447,549 : x - Step 2: Convert to fraction form
206,149.50/447,549 = 447,549/x - Step 3: Cross multiply
206,149.50x = 447,549 × 447,549 - Step 4: Simplify right side
206,149.50x = 200,300,107,401 - Step 5: Solve for x
x = 200,300,107,401/206,149.50 - Step 6: Final answer
x = 971,625.48
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.