Finding the Third Proportional to 194,256 and 420,768
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Solution
The third proportional to 194,256 and 420,768 is: 911,404.07
Step by Step Solution
- Step 1: Write the proportion equation
194,256 : 420,768 = 420,768 : x - Step 2: Convert to fraction form
194,256/420,768 = 420,768/x - Step 3: Cross multiply
194,256x = 420,768 × 420,768 - Step 4: Simplify right side
194,256x = 177,045,709,824 - Step 5: Solve for x
x = 177,045,709,824/194,256 - Step 6: Final answer
x = 911,404.07
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.