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Finding the Third Proportional to 179,600 and 261,503

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Solution

The third proportional to 179,600 and 261,503 is: 380,756.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,600 : 261,503 = 261,503 : x
  2. Step 2: Convert to fraction form
    179,600/261,503 = 261,503/x
  3. Step 3: Cross multiply
    179,600x = 261,503 × 261,503
  4. Step 4: Simplify right side
    179,600x = 68,383,819,009
  5. Step 5: Solve for x
    x = 68,383,819,009/179,600
  6. Step 6: Final answer
    x = 380,756.23

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.