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Finding the Third Proportional to 241,744.50 and 339,828.75

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Solution

The third proportional to 241,744.50 and 339,828.75 is: 477,709.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,744.50 : 339,828.75 = 339,828.75 : x
  2. Step 2: Convert to fraction form
    241,744.50/339,828.75 = 339,828.75/x
  3. Step 3: Cross multiply
    241,744.50x = 339,828.75 × 339,828.75
  4. Step 4: Simplify right side
    241,744.50x = 115,483,579,326.56
  5. Step 5: Solve for x
    x = 115,483,579,326.56/241,744.50
  6. Step 6: Final answer
    x = 477,709.23

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.