Finding the Third Proportional to 98,748 and 214,344
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Solution
The third proportional to 98,748 and 214,344 is: 465,258.54
Step by Step Solution
- Step 1: Write the proportion equation
98,748 : 214,344 = 214,344 : x - Step 2: Convert to fraction form
98,748/214,344 = 214,344/x - Step 3: Cross multiply
98,748x = 214,344 × 214,344 - Step 4: Simplify right side
98,748x = 45,943,350,336 - Step 5: Solve for x
x = 45,943,350,336/98,748 - Step 6: Final answer
x = 465,258.54
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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.