Finding the Third Proportional to 189,178 and 282,126
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Solution
The third proportional to 189,178 and 282,126 is: 420,741.73
Step by Step Solution
- Step 1: Write the proportion equation
189,178 : 282,126 = 282,126 : x - Step 2: Convert to fraction form
189,178/282,126 = 282,126/x - Step 3: Cross multiply
189,178x = 282,126 × 282,126 - Step 4: Simplify right side
189,178x = 79,595,079,876 - Step 5: Solve for x
x = 79,595,079,876/189,178 - Step 6: Final answer
x = 420,741.73
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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.