Finding the Third Proportional to 191,704 and 411,164
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Solution
The third proportional to 191,704 and 411,164 is: 881,858.67
Step by Step Solution
- Step 1: Write the proportion equation
191,704 : 411,164 = 411,164 : x - Step 2: Convert to fraction form
191,704/411,164 = 411,164/x - Step 3: Cross multiply
191,704x = 411,164 × 411,164 - Step 4: Simplify right side
191,704x = 169,055,834,896 - Step 5: Solve for x
x = 169,055,834,896/191,704 - Step 6: Final answer
x = 881,858.67
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Why These Related Problems?
These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.