Finding the Third Proportional to 199,304 and 298,410
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Solution
The third proportional to 199,304 and 298,410 is: 446,797.50
Step by Step Solution
- Step 1: Write the proportion equation
199,304 : 298,410 = 298,410 : x - Step 2: Convert to fraction form
199,304/298,410 = 298,410/x - Step 3: Cross multiply
199,304x = 298,410 × 298,410 - Step 4: Simplify right side
199,304x = 89,048,528,100 - Step 5: Solve for x
x = 89,048,528,100/199,304 - Step 6: Final answer
x = 446,797.50
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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.