Finding the Third Proportional to 196,320 and 305,712
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Solution
The third proportional to 196,320 and 305,712 is: 476,058.61
Step by Step Solution
- Step 1: Write the proportion equation
196,320 : 305,712 = 305,712 : x - Step 2: Convert to fraction form
196,320/305,712 = 305,712/x - Step 3: Cross multiply
196,320x = 305,712 × 305,712 - Step 4: Simplify right side
196,320x = 93,459,826,944 - Step 5: Solve for x
x = 93,459,826,944/196,320 - Step 6: Final answer
x = 476,058.61
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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.