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Finding the Third Proportional to 181,917 and 279,229.50

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Solution

The third proportional to 181,917 and 279,229.50 is: 428,597.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,917 : 279,229.50 = 279,229.50 : x
  2. Step 2: Convert to fraction form
    181,917/279,229.50 = 279,229.50/x
  3. Step 3: Cross multiply
    181,917x = 279,229.50 × 279,229.50
  4. Step 4: Simplify right side
    181,917x = 77,969,113,670.25
  5. Step 5: Solve for x
    x = 77,969,113,670.25/181,917
  6. Step 6: Final answer
    x = 428,597.18

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.