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Finding the Third Proportional to 281.75 and 431.75

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Solution

The third proportional to 281.75 and 431.75 is: 661.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.75 : 431.75 = 431.75 : x
  2. Step 2: Convert to fraction form
    281.75/431.75 = 431.75/x
  3. Step 3: Cross multiply
    281.75x = 431.75 × 431.75
  4. Step 4: Simplify right side
    281.75x = 186,408.06
  5. Step 5: Solve for x
    x = 186,408.06/281.75
  6. Step 6: Final answer
    x = 661.61

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.