Finding the Third Proportional to 206,673.75 and 292,524.75
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Solution
The third proportional to 206,673.75 and 292,524.75 is: 414,037.73
Step by Step Solution
- Step 1: Write the proportion equation
206,673.75 : 292,524.75 = 292,524.75 : x - Step 2: Convert to fraction form
206,673.75/292,524.75 = 292,524.75/x - Step 3: Cross multiply
206,673.75x = 292,524.75 × 292,524.75 - Step 4: Simplify right side
206,673.75x = 85,570,729,362.56 - Step 5: Solve for x
x = 85,570,729,362.56/206,673.75 - Step 6: Final answer
x = 414,037.73
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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.