Finding the Third Proportional to 210,194 and 461,268
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Solution
The third proportional to 210,194 and 461,268 is: 1,012,246.63
Step by Step Solution
- Step 1: Write the proportion equation
210,194 : 461,268 = 461,268 : x - Step 2: Convert to fraction form
210,194/461,268 = 461,268/x - Step 3: Cross multiply
210,194x = 461,268 × 461,268 - Step 4: Simplify right side
210,194x = 212,768,167,824 - Step 5: Solve for x
x = 212,768,167,824/210,194 - Step 6: Final answer
x = 1,012,246.63
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Why These Related Problems?
These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.