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Finding the Third Proportional to 259.50 and 394.50

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Solution

The third proportional to 259.50 and 394.50 is: 599.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.50 : 394.50 = 394.50 : x
  2. Step 2: Convert to fraction form
    259.50/394.50 = 394.50/x
  3. Step 3: Cross multiply
    259.50x = 394.50 × 394.50
  4. Step 4: Simplify right side
    259.50x = 155,630.25
  5. Step 5: Solve for x
    x = 155,630.25/259.50
  6. Step 6: Final answer
    x = 599.73

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.