Finding the Third Proportional to 176,974.25 and 382,122.75
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Solution
The third proportional to 176,974.25 and 382,122.75 is: 825,079.33
Step by Step Solution
- Step 1: Write the proportion equation
176,974.25 : 382,122.75 = 382,122.75 : x - Step 2: Convert to fraction form
176,974.25/382,122.75 = 382,122.75/x - Step 3: Cross multiply
176,974.25x = 382,122.75 × 382,122.75 - Step 4: Simplify right side
176,974.25x = 146,017,796,067.56 - Step 5: Solve for x
x = 146,017,796,067.56/176,974.25 - Step 6: Final answer
x = 825,079.33
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.