Finding the Third Proportional to 205,648 and 306,760
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Solution
The third proportional to 205,648 and 306,760 is: 457,586.25
Step by Step Solution
- Step 1: Write the proportion equation
205,648 : 306,760 = 306,760 : x - Step 2: Convert to fraction form
205,648/306,760 = 306,760/x - Step 3: Cross multiply
205,648x = 306,760 × 306,760 - Step 4: Simplify right side
205,648x = 94,101,697,600 - Step 5: Solve for x
x = 94,101,697,600/205,648 - Step 6: Final answer
x = 457,586.25
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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.