Finding the Third Proportional to 171,824 and 262,840
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Solution
The third proportional to 171,824 and 262,840 is: 402,067.61
Step by Step Solution
- Step 1: Write the proportion equation
171,824 : 262,840 = 262,840 : x - Step 2: Convert to fraction form
171,824/262,840 = 262,840/x - Step 3: Cross multiply
171,824x = 262,840 × 262,840 - Step 4: Simplify right side
171,824x = 69,084,865,600 - Step 5: Solve for x
x = 69,084,865,600/171,824 - Step 6: Final answer
x = 402,067.61
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Why These Related Problems?
These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.