Finding the Third Proportional to 180,303 and 280,284
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Solution
The third proportional to 180,303 and 280,284 is: 435,706.12
Step by Step Solution
- Step 1: Write the proportion equation
180,303 : 280,284 = 280,284 : x - Step 2: Convert to fraction form
180,303/280,284 = 280,284/x - Step 3: Cross multiply
180,303x = 280,284 × 280,284 - Step 4: Simplify right side
180,303x = 78,559,120,656 - Step 5: Solve for x
x = 78,559,120,656/180,303 - Step 6: Final answer
x = 435,706.12
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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.