Finding the Third Proportional to 120,942 and 262,656
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Solution
The third proportional to 120,942 and 262,656 is: 570,423.63
Step by Step Solution
- Step 1: Write the proportion equation
120,942 : 262,656 = 262,656 : x - Step 2: Convert to fraction form
120,942/262,656 = 262,656/x - Step 3: Cross multiply
120,942x = 262,656 × 262,656 - Step 4: Simplify right side
120,942x = 68,988,174,336 - Step 5: Solve for x
x = 68,988,174,336/120,942 - Step 6: Final answer
x = 570,423.63
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.