Finding the Third Proportional to 262,846 and 402,153
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Solution
The third proportional to 262,846 and 402,153 is: 615,291.98
Step by Step Solution
- Step 1: Write the proportion equation
262,846 : 402,153 = 402,153 : x - Step 2: Convert to fraction form
262,846/402,153 = 402,153/x - Step 3: Cross multiply
262,846x = 402,153 × 402,153 - Step 4: Simplify right side
262,846x = 161,727,035,409 - Step 5: Solve for x
x = 161,727,035,409/262,846 - Step 6: Final answer
x = 615,291.98
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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.