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Finding the Third Proportional to 288.25 and 445.25

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Solution

The third proportional to 288.25 and 445.25 is: 687.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.25 : 445.25 = 445.25 : x
  2. Step 2: Convert to fraction form
    288.25/445.25 = 445.25/x
  3. Step 3: Cross multiply
    288.25x = 445.25 × 445.25
  4. Step 4: Simplify right side
    288.25x = 198,247.56
  5. Step 5: Solve for x
    x = 198,247.56/288.25
  6. Step 6: Final answer
    x = 687.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.