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Finding the Third Proportional to 181,567 and 398,969

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Solution

The third proportional to 181,567 and 398,969 is: 876,680.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,567 : 398,969 = 398,969 : x
  2. Step 2: Convert to fraction form
    181,567/398,969 = 398,969/x
  3. Step 3: Cross multiply
    181,567x = 398,969 × 398,969
  4. Step 4: Simplify right side
    181,567x = 159,176,262,961
  5. Step 5: Solve for x
    x = 159,176,262,961/181,567
  6. Step 6: Final answer
    x = 876,680.58

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.