Finding the Third Proportional to 165,840 and 355,320
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Solution
The third proportional to 165,840 and 355,320 is: 761,289.81
Step by Step Solution
- Step 1: Write the proportion equation
165,840 : 355,320 = 355,320 : x - Step 2: Convert to fraction form
165,840/355,320 = 355,320/x - Step 3: Cross multiply
165,840x = 355,320 × 355,320 - Step 4: Simplify right side
165,840x = 126,252,302,400 - Step 5: Solve for x
x = 126,252,302,400/165,840 - Step 6: Final answer
x = 761,289.81
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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.