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Finding the Third Proportional to 179,424 and 273,504

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Solution

The third proportional to 179,424 and 273,504 is: 416,914.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,424 : 273,504 = 273,504 : x
  2. Step 2: Convert to fraction form
    179,424/273,504 = 273,504/x
  3. Step 3: Cross multiply
    179,424x = 273,504 × 273,504
  4. Step 4: Simplify right side
    179,424x = 74,804,438,016
  5. Step 5: Solve for x
    x = 74,804,438,016/179,424
  6. Step 6: Final answer
    x = 416,914.34

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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.