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Finding the Third Proportional to 179,658 and 269,466.75

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Solution

The third proportional to 179,658 and 269,466.75 is: 404,169.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,658 : 269,466.75 = 269,466.75 : x
  2. Step 2: Convert to fraction form
    179,658/269,466.75 = 269,466.75/x
  3. Step 3: Cross multiply
    179,658x = 269,466.75 × 269,466.75
  4. Step 4: Simplify right side
    179,658x = 72,612,329,355.56
  5. Step 5: Solve for x
    x = 72,612,329,355.56/179,658
  6. Step 6: Final answer
    x = 404,169.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.