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Finding the Third Proportional to 179,968 and 263,408

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Solution

The third proportional to 179,968 and 263,408 is: 385,533.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,968 : 263,408 = 263,408 : x
  2. Step 2: Convert to fraction form
    179,968/263,408 = 263,408/x
  3. Step 3: Cross multiply
    179,968x = 263,408 × 263,408
  4. Step 4: Simplify right side
    179,968x = 69,383,774,464
  5. Step 5: Solve for x
    x = 69,383,774,464/179,968
  6. Step 6: Final answer
    x = 385,533.95

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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.