Finding the Third Proportional to 189,184 and 282,136
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Solution
The third proportional to 189,184 and 282,136 is: 420,758.22
Step by Step Solution
- Step 1: Write the proportion equation
189,184 : 282,136 = 282,136 : x - Step 2: Convert to fraction form
189,184/282,136 = 282,136/x - Step 3: Cross multiply
189,184x = 282,136 × 282,136 - Step 4: Simplify right side
189,184x = 79,600,722,496 - Step 5: Solve for x
x = 79,600,722,496/189,184 - Step 6: Final answer
x = 420,758.22
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.