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Finding the Third Proportional to 179,107 and 279,554

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Solution

The third proportional to 179,107 and 279,554 is: 436,333.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,107 : 279,554 = 279,554 : x
  2. Step 2: Convert to fraction form
    179,107/279,554 = 279,554/x
  3. Step 3: Cross multiply
    179,107x = 279,554 × 279,554
  4. Step 4: Simplify right side
    179,107x = 78,150,438,916
  5. Step 5: Solve for x
    x = 78,150,438,916/179,107
  6. Step 6: Final answer
    x = 436,333.81

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.