Finding the Third Proportional to 164,496 and 358,737
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Solution
The third proportional to 164,496 and 358,737 is: 782,342.64
Step by Step Solution
- Step 1: Write the proportion equation
164,496 : 358,737 = 358,737 : x - Step 2: Convert to fraction form
164,496/358,737 = 358,737/x - Step 3: Cross multiply
164,496x = 358,737 × 358,737 - Step 4: Simplify right side
164,496x = 128,692,235,169 - Step 5: Solve for x
x = 128,692,235,169/164,496 - Step 6: Final answer
x = 782,342.64
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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.