Finding the Third Proportional to 204,294.75 and 317,067.75
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Solution
The third proportional to 204,294.75 and 317,067.75 is: 492,092.71
Step by Step Solution
- Step 1: Write the proportion equation
204,294.75 : 317,067.75 = 317,067.75 : x - Step 2: Convert to fraction form
204,294.75/317,067.75 = 317,067.75/x - Step 3: Cross multiply
204,294.75x = 317,067.75 × 317,067.75 - Step 4: Simplify right side
204,294.75x = 100,531,958,090.06 - Step 5: Solve for x
x = 100,531,958,090.06/204,294.75 - Step 6: Final answer
x = 492,092.71
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.