Finding the Third Proportional to 205,678.50 and 448,260
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Solution
The third proportional to 205,678.50 and 448,260 is: 976,947.17
Step by Step Solution
- Step 1: Write the proportion equation
205,678.50 : 448,260 = 448,260 : x - Step 2: Convert to fraction form
205,678.50/448,260 = 448,260/x - Step 3: Cross multiply
205,678.50x = 448,260 × 448,260 - Step 4: Simplify right side
205,678.50x = 200,937,027,600 - Step 5: Solve for x
x = 200,937,027,600/205,678.50 - Step 6: Final answer
x = 976,947.17
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.