Finding the Third Proportional to 77,500 and 158,280
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Solution
The third proportional to 77,500 and 158,280 is: 323,258.82
Step by Step Solution
- Step 1: Write the proportion equation
77,500 : 158,280 = 158,280 : x - Step 2: Convert to fraction form
77,500/158,280 = 158,280/x - Step 3: Cross multiply
77,500x = 158,280 × 158,280 - Step 4: Simplify right side
77,500x = 25,052,558,400 - Step 5: Solve for x
x = 25,052,558,400/77,500 - Step 6: Final answer
x = 323,258.82
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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.