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Finding the Third Proportional to 233,326 and 361,977

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Solution

The third proportional to 233,326 and 361,977 is: 561,563.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,326 : 361,977 = 361,977 : x
  2. Step 2: Convert to fraction form
    233,326/361,977 = 361,977/x
  3. Step 3: Cross multiply
    233,326x = 361,977 × 361,977
  4. Step 4: Simplify right side
    233,326x = 131,027,348,529
  5. Step 5: Solve for x
    x = 131,027,348,529/233,326
  6. Step 6: Final answer
    x = 561,563.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.