Finding the Third Proportional to 184,920 and 278,688
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Solution
The third proportional to 184,920 and 278,688 is: 420,003.25
Step by Step Solution
- Step 1: Write the proportion equation
184,920 : 278,688 = 278,688 : x - Step 2: Convert to fraction form
184,920/278,688 = 278,688/x - Step 3: Cross multiply
184,920x = 278,688 × 278,688 - Step 4: Simplify right side
184,920x = 77,667,001,344 - Step 5: Solve for x
x = 77,667,001,344/184,920 - Step 6: Final answer
x = 420,003.25
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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.