Finding the Third Proportional to 204,724 and 315,834
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Solution
The third proportional to 204,724 and 315,834 is: 487,246.81
Step by Step Solution
- Step 1: Write the proportion equation
204,724 : 315,834 = 315,834 : x - Step 2: Convert to fraction form
204,724/315,834 = 315,834/x - Step 3: Cross multiply
204,724x = 315,834 × 315,834 - Step 4: Simplify right side
204,724x = 99,751,115,556 - Step 5: Solve for x
x = 99,751,115,556/204,724 - Step 6: Final answer
x = 487,246.81
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.