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Finding the Third Proportional to 179,541 and 273,042

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Solution

The third proportional to 179,541 and 273,042 is: 415,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,541 : 273,042 = 273,042 : x
  2. Step 2: Convert to fraction form
    179,541/273,042 = 273,042/x
  3. Step 3: Cross multiply
    179,541x = 273,042 × 273,042
  4. Step 4: Simplify right side
    179,541x = 74,551,933,764
  5. Step 5: Solve for x
    x = 74,551,933,764/179,541
  6. Step 6: Final answer
    x = 415,236.26

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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.