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Finding the Third Proportional to 181,699.50 and 398,019

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Solution

The third proportional to 181,699.50 and 398,019 is: 871,874.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,699.50 : 398,019 = 398,019 : x
  2. Step 2: Convert to fraction form
    181,699.50/398,019 = 398,019/x
  3. Step 3: Cross multiply
    181,699.50x = 398,019 × 398,019
  4. Step 4: Simplify right side
    181,699.50x = 158,419,124,361
  5. Step 5: Solve for x
    x = 158,419,124,361/181,699.50
  6. Step 6: Final answer
    x = 871,874.30

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.