Finding the Third Proportional to 136,924 and 296,312
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Solution
The third proportional to 136,924 and 296,312 is: 641,237.48
Step by Step Solution
- Step 1: Write the proportion equation
136,924 : 296,312 = 296,312 : x - Step 2: Convert to fraction form
136,924/296,312 = 296,312/x - Step 3: Cross multiply
136,924x = 296,312 × 296,312 - Step 4: Simplify right side
136,924x = 87,800,801,344 - Step 5: Solve for x
x = 87,800,801,344/136,924 - Step 6: Final answer
x = 641,237.48
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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.