Finding the Third Proportional to 180,298.50 and 280,290
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Solution
The third proportional to 180,298.50 and 280,290 is: 435,735.65
Step by Step Solution
- Step 1: Write the proportion equation
180,298.50 : 280,290 = 280,290 : x - Step 2: Convert to fraction form
180,298.50/280,290 = 280,290/x - Step 3: Cross multiply
180,298.50x = 280,290 × 280,290 - Step 4: Simplify right side
180,298.50x = 78,562,484,100 - Step 5: Solve for x
x = 78,562,484,100/180,298.50 - Step 6: Final answer
x = 435,735.65
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Why These Related Problems?
These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.