Finding the Third Proportional to 206,600 and 290,928
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Solution
The third proportional to 206,600 and 290,928 is: 409,676.19
Step by Step Solution
- Step 1: Write the proportion equation
206,600 : 290,928 = 290,928 : x - Step 2: Convert to fraction form
206,600/290,928 = 290,928/x - Step 3: Cross multiply
206,600x = 290,928 × 290,928 - Step 4: Simplify right side
206,600x = 84,639,101,184 - Step 5: Solve for x
x = 84,639,101,184/206,600 - Step 6: Final answer
x = 409,676.19
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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.