Finding the Third Proportional to 206,475.75 and 457,170.19
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Solution
The third proportional to 206,475.75 and 457,170.19 is: 1,012,247.59
Step by Step Solution
- Step 1: Write the proportion equation
206,475.75 : 457,170.19 = 457,170.19 : x - Step 2: Convert to fraction form
206,475.75/457,170.19 = 457,170.19/x - Step 3: Cross multiply
206,475.75x = 457,170.19 × 457,170.19 - Step 4: Simplify right side
206,475.75x = 209,004,580,338.79 - Step 5: Solve for x
x = 209,004,580,338.79/206,475.75 - Step 6: Final answer
x = 1,012,247.59
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These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.