Finding the Third Proportional to 137,434 and 298,368
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Solution
The third proportional to 137,434 and 298,368 is: 647,754.29
Step by Step Solution
- Step 1: Write the proportion equation
137,434 : 298,368 = 298,368 : x - Step 2: Convert to fraction form
137,434/298,368 = 298,368/x - Step 3: Cross multiply
137,434x = 298,368 × 298,368 - Step 4: Simplify right side
137,434x = 89,023,463,424 - Step 5: Solve for x
x = 89,023,463,424/137,434 - Step 6: Final answer
x = 647,754.29
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.