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Finding the Third Proportional to 181,704 and 398,040

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Solution

The third proportional to 181,704 and 398,040 is: 871,944.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,704 : 398,040 = 398,040 : x
  2. Step 2: Convert to fraction form
    181,704/398,040 = 398,040/x
  3. Step 3: Cross multiply
    181,704x = 398,040 × 398,040
  4. Step 4: Simplify right side
    181,704x = 158,435,841,600
  5. Step 5: Solve for x
    x = 158,435,841,600/181,704
  6. Step 6: Final answer
    x = 871,944.71

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Why These Related Problems?

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