Finding the Third Proportional to 188,434 and 406,411
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Solution
The third proportional to 188,434 and 406,411 is: 876,539.80
Step by Step Solution
- Step 1: Write the proportion equation
188,434 : 406,411 = 406,411 : x - Step 2: Convert to fraction form
188,434/406,411 = 406,411/x - Step 3: Cross multiply
188,434x = 406,411 × 406,411 - Step 4: Simplify right side
188,434x = 165,169,900,921 - Step 5: Solve for x
x = 165,169,900,921/188,434 - Step 6: Final answer
x = 876,539.80
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.