Finding the Third Proportional to 206,846.50 and 316,284
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Solution
The third proportional to 206,846.50 and 316,284 is: 483,622.24
Step by Step Solution
- Step 1: Write the proportion equation
206,846.50 : 316,284 = 316,284 : x - Step 2: Convert to fraction form
206,846.50/316,284 = 316,284/x - Step 3: Cross multiply
206,846.50x = 316,284 × 316,284 - Step 4: Simplify right side
206,846.50x = 100,035,568,656 - Step 5: Solve for x
x = 100,035,568,656/206,846.50 - Step 6: Final answer
x = 483,622.24
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.