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Finding the Third Proportional to 234.56 and 257.91

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Solution

The third proportional to 234.56 and 257.91 is: 283.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 257.91 = 257.91 : x
  2. Step 2: Convert to fraction form
    234.56/257.91 = 257.91/x
  3. Step 3: Cross multiply
    234.56x = 257.91 × 257.91
  4. Step 4: Simplify right side
    234.56x = 66,515.63
  5. Step 5: Solve for x
    x = 66,515.63/234.56
  6. Step 6: Final answer
    x = 283.57

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.