Finding the Third Proportional to 269,184 and 365,733
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Solution
The third proportional to 269,184 and 365,733 is: 496,911.51
Step by Step Solution
- Step 1: Write the proportion equation
269,184 : 365,733 = 365,733 : x - Step 2: Convert to fraction form
269,184/365,733 = 365,733/x - Step 3: Cross multiply
269,184x = 365,733 × 365,733 - Step 4: Simplify right side
269,184x = 133,760,627,289 - Step 5: Solve for x
x = 133,760,627,289/269,184 - Step 6: Final answer
x = 496,911.51
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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.