Finding the Third Proportional to 165,600 and 262,653
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Solution
The third proportional to 165,600 and 262,653 is: 416,585.74
Step by Step Solution
- Step 1: Write the proportion equation
165,600 : 262,653 = 262,653 : x - Step 2: Convert to fraction form
165,600/262,653 = 262,653/x - Step 3: Cross multiply
165,600x = 262,653 × 262,653 - Step 4: Simplify right side
165,600x = 68,986,598,409 - Step 5: Solve for x
x = 68,986,598,409/165,600 - Step 6: Final answer
x = 416,585.74
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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.