Finding the Third Proportional to 157,046 and 322,408
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Solution
The third proportional to 157,046 and 322,408 is: 661,888.35
Step by Step Solution
- Step 1: Write the proportion equation
157,046 : 322,408 = 322,408 : x - Step 2: Convert to fraction form
157,046/322,408 = 322,408/x - Step 3: Cross multiply
157,046x = 322,408 × 322,408 - Step 4: Simplify right side
157,046x = 103,946,918,464 - Step 5: Solve for x
x = 103,946,918,464/157,046 - Step 6: Final answer
x = 661,888.35
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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.