Finding the Third Proportional to 83,774.25 and 182,310.75
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Solution
The third proportional to 83,774.25 and 182,310.75 is: 396,747.32
Step by Step Solution
- Step 1: Write the proportion equation
83,774.25 : 182,310.75 = 182,310.75 : x - Step 2: Convert to fraction form
83,774.25/182,310.75 = 182,310.75/x - Step 3: Cross multiply
83,774.25x = 182,310.75 × 182,310.75 - Step 4: Simplify right side
83,774.25x = 33,237,209,565.56 - Step 5: Solve for x
x = 33,237,209,565.56/83,774.25 - Step 6: Final answer
x = 396,747.32
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Why These Related Problems?
These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.