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Finding the Third Proportional to 115,410.75 and 260,455.25

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Solution

The third proportional to 115,410.75 and 260,455.25 is: 587,786.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,410.75 : 260,455.25 = 260,455.25 : x
  2. Step 2: Convert to fraction form
    115,410.75/260,455.25 = 260,455.25/x
  3. Step 3: Cross multiply
    115,410.75x = 260,455.25 × 260,455.25
  4. Step 4: Simplify right side
    115,410.75x = 67,836,937,252.56
  5. Step 5: Solve for x
    x = 67,836,937,252.56/115,410.75
  6. Step 6: Final answer
    x = 587,786.99

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.