Finding the Third Proportional to 83,658 and 180,348
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Solution
The third proportional to 83,658 and 180,348 is: 388,790.09
Step by Step Solution
- Step 1: Write the proportion equation
83,658 : 180,348 = 180,348 : x - Step 2: Convert to fraction form
83,658/180,348 = 180,348/x - Step 3: Cross multiply
83,658x = 180,348 × 180,348 - Step 4: Simplify right side
83,658x = 32,525,401,104 - Step 5: Solve for x
x = 32,525,401,104/83,658 - Step 6: Final answer
x = 388,790.09
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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.