Finding the Third Proportional to 205,769.25 and 309,201.75
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Solution
The third proportional to 205,769.25 and 309,201.75 is: 464,625.90
Step by Step Solution
- Step 1: Write the proportion equation
205,769.25 : 309,201.75 = 309,201.75 : x - Step 2: Convert to fraction form
205,769.25/309,201.75 = 309,201.75/x - Step 3: Cross multiply
205,769.25x = 309,201.75 × 309,201.75 - Step 4: Simplify right side
205,769.25x = 95,605,722,203.06 - Step 5: Solve for x
x = 95,605,722,203.06/205,769.25 - Step 6: Final answer
x = 464,625.90
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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.