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Finding the Third Proportional to 109.75 and 260.50

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Solution

The third proportional to 109.75 and 260.50 is: 618.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    109.75 : 260.50 = 260.50 : x
  2. Step 2: Convert to fraction form
    109.75/260.50 = 260.50/x
  3. Step 3: Cross multiply
    109.75x = 260.50 × 260.50
  4. Step 4: Simplify right side
    109.75x = 67,860.25
  5. Step 5: Solve for x
    x = 67,860.25/109.75
  6. Step 6: Final answer
    x = 618.32

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.