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Finding the Third Proportional to 179,538 and 273,038

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Solution

The third proportional to 179,538 and 273,038 is: 415,231.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,538 : 273,038 = 273,038 : x
  2. Step 2: Convert to fraction form
    179,538/273,038 = 273,038/x
  3. Step 3: Cross multiply
    179,538x = 273,038 × 273,038
  4. Step 4: Simplify right side
    179,538x = 74,549,749,444
  5. Step 5: Solve for x
    x = 74,549,749,444/179,538
  6. Step 6: Final answer
    x = 415,231.03

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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.