Finding the Third Proportional to 159,487 and 256,969
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Solution
The third proportional to 159,487 and 256,969 is: 414,034.17
Step by Step Solution
- Step 1: Write the proportion equation
159,487 : 256,969 = 256,969 : x - Step 2: Convert to fraction form
159,487/256,969 = 256,969/x - Step 3: Cross multiply
159,487x = 256,969 × 256,969 - Step 4: Simplify right side
159,487x = 66,033,066,961 - Step 5: Solve for x
x = 66,033,066,961/159,487 - Step 6: Final answer
x = 414,034.17
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Why These Related Problems?
These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.