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Finding the Third Proportional to 181,541.25 and 279,965.25

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Solution

The third proportional to 181,541.25 and 279,965.25 is: 431,750.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,541.25 : 279,965.25 = 279,965.25 : x
  2. Step 2: Convert to fraction form
    181,541.25/279,965.25 = 279,965.25/x
  3. Step 3: Cross multiply
    181,541.25x = 279,965.25 × 279,965.25
  4. Step 4: Simplify right side
    181,541.25x = 78,380,541,207.56
  5. Step 5: Solve for x
    x = 78,380,541,207.56/181,541.25
  6. Step 6: Final answer
    x = 431,750.59

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.