Finding the Third Proportional to 194,754 and 409,186
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Solution
The third proportional to 194,754 and 409,186 is: 859,716.27
Step by Step Solution
- Step 1: Write the proportion equation
194,754 : 409,186 = 409,186 : x - Step 2: Convert to fraction form
194,754/409,186 = 409,186/x - Step 3: Cross multiply
194,754x = 409,186 × 409,186 - Step 4: Simplify right side
194,754x = 167,433,182,596 - Step 5: Solve for x
x = 167,433,182,596/194,754 - Step 6: Final answer
x = 859,716.27
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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.