Finding the Third Proportional to 202,100 and 415,862
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Solution
The third proportional to 202,100 and 415,862 is: 855,720.95
Step by Step Solution
- Step 1: Write the proportion equation
202,100 : 415,862 = 415,862 : x - Step 2: Convert to fraction form
202,100/415,862 = 415,862/x - Step 3: Cross multiply
202,100x = 415,862 × 415,862 - Step 4: Simplify right side
202,100x = 172,941,203,044 - Step 5: Solve for x
x = 172,941,203,044/202,100 - Step 6: Final answer
x = 855,720.95
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Why These Related Problems?
These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.