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Finding the Third Proportional to 146,826 and 211,977

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Solution

The third proportional to 146,826 and 211,977 is: 306,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,826 : 211,977 = 211,977 : x
  2. Step 2: Convert to fraction form
    146,826/211,977 = 211,977/x
  3. Step 3: Cross multiply
    146,826x = 211,977 × 211,977
  4. Step 4: Simplify right side
    146,826x = 44,934,248,529
  5. Step 5: Solve for x
    x = 44,934,248,529/146,826
  6. Step 6: Final answer
    x = 306,037.41

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.