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Finding the Third Proportional to 76,444 and 179,867

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Solution

The third proportional to 76,444 and 179,867 is: 423,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,444 : 179,867 = 179,867 : x
  2. Step 2: Convert to fraction form
    76,444/179,867 = 179,867/x
  3. Step 3: Cross multiply
    76,444x = 179,867 × 179,867
  4. Step 4: Simplify right side
    76,444x = 32,352,137,689
  5. Step 5: Solve for x
    x = 32,352,137,689/76,444
  6. Step 6: Final answer
    x = 423,213.56

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.