Finding the Third Proportional to 286,752 and 401,166
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Solution
The third proportional to 286,752 and 401,166 is: 561,231.17
Step by Step Solution
- Step 1: Write the proportion equation
286,752 : 401,166 = 401,166 : x - Step 2: Convert to fraction form
286,752/401,166 = 401,166/x - Step 3: Cross multiply
286,752x = 401,166 × 401,166 - Step 4: Simplify right side
286,752x = 160,934,159,556 - Step 5: Solve for x
x = 160,934,159,556/286,752 - Step 6: Final answer
x = 561,231.17
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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.