Finding the Third Proportional to 162,824 and 233,299
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Solution
The third proportional to 162,824 and 233,299 is: 334,277.65
Step by Step Solution
- Step 1: Write the proportion equation
162,824 : 233,299 = 233,299 : x - Step 2: Convert to fraction form
162,824/233,299 = 233,299/x - Step 3: Cross multiply
162,824x = 233,299 × 233,299 - Step 4: Simplify right side
162,824x = 54,428,423,401 - Step 5: Solve for x
x = 54,428,423,401/162,824 - Step 6: Final answer
x = 334,277.65
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Why These Related Problems?
These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.