Finding the Third Proportional to 85,406.50 and 181,901
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Solution
The third proportional to 85,406.50 and 181,901 is: 387,417.51
Step by Step Solution
- Step 1: Write the proportion equation
85,406.50 : 181,901 = 181,901 : x - Step 2: Convert to fraction form
85,406.50/181,901 = 181,901/x - Step 3: Cross multiply
85,406.50x = 181,901 × 181,901 - Step 4: Simplify right side
85,406.50x = 33,087,973,801 - Step 5: Solve for x
x = 33,087,973,801/85,406.50 - Step 6: Final answer
x = 387,417.51
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Why These Related Problems?
These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.