Finding the Third Proportional to 157,014 and 242,578
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Solution
The third proportional to 157,014 and 242,578 is: 374,769.68
Step by Step Solution
- Step 1: Write the proportion equation
157,014 : 242,578 = 242,578 : x - Step 2: Convert to fraction form
157,014/242,578 = 242,578/x - Step 3: Cross multiply
157,014x = 242,578 × 242,578 - Step 4: Simplify right side
157,014x = 58,844,086,084 - Step 5: Solve for x
x = 58,844,086,084/157,014 - Step 6: Final answer
x = 374,769.68
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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.