Finding the Third Proportional to 194,520 and 457,980
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Solution
The third proportional to 194,520 and 457,980 is: 1,078,273.08
Step by Step Solution
- Step 1: Write the proportion equation
194,520 : 457,980 = 457,980 : x - Step 2: Convert to fraction form
194,520/457,980 = 457,980/x - Step 3: Cross multiply
194,520x = 457,980 × 457,980 - Step 4: Simplify right side
194,520x = 209,745,680,400 - Step 5: Solve for x
x = 209,745,680,400/194,520 - Step 6: Final answer
x = 1,078,273.08
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Why These Related Problems?
These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.