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Finding the Third Proportional to 115.25 and 260.50

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Solution

The third proportional to 115.25 and 260.50 is: 588.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    115.25 : 260.50 = 260.50 : x
  2. Step 2: Convert to fraction form
    115.25/260.50 = 260.50/x
  3. Step 3: Cross multiply
    115.25x = 260.50 × 260.50
  4. Step 4: Simplify right side
    115.25x = 67,860.25
  5. Step 5: Solve for x
    x = 67,860.25/115.25
  6. Step 6: Final answer
    x = 588.81

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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.