Finding the Third Proportional to 107,761.50 and 229,158
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Solution
The third proportional to 107,761.50 and 229,158 is: 487,311.23
Step by Step Solution
- Step 1: Write the proportion equation
107,761.50 : 229,158 = 229,158 : x - Step 2: Convert to fraction form
107,761.50/229,158 = 229,158/x - Step 3: Cross multiply
107,761.50x = 229,158 × 229,158 - Step 4: Simplify right side
107,761.50x = 52,513,388,964 - Step 5: Solve for x
x = 52,513,388,964/107,761.50 - Step 6: Final answer
x = 487,311.23
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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.