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Finding the Third Proportional to 241,107.50 and 518,505.25

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Solution

The third proportional to 241,107.50 and 518,505.25 is: 1,115,053.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,107.50 : 518,505.25 = 518,505.25 : x
  2. Step 2: Convert to fraction form
    241,107.50/518,505.25 = 518,505.25/x
  3. Step 3: Cross multiply
    241,107.50x = 518,505.25 × 518,505.25
  4. Step 4: Simplify right side
    241,107.50x = 268,847,694,277.56
  5. Step 5: Solve for x
    x = 268,847,694,277.56/241,107.50
  6. Step 6: Final answer
    x = 1,115,053.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.