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Finding the Third Proportional to 181,845 and 276,979.50

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Solution

The third proportional to 181,845 and 276,979.50 is: 421,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,845 : 276,979.50 = 276,979.50 : x
  2. Step 2: Convert to fraction form
    181,845/276,979.50 = 276,979.50/x
  3. Step 3: Cross multiply
    181,845x = 276,979.50 × 276,979.50
  4. Step 4: Simplify right side
    181,845x = 76,717,643,420.25
  5. Step 5: Solve for x
    x = 76,717,643,420.25/181,845
  6. Step 6: Final answer
    x = 421,884.81

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.