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Finding the Third Proportional to 234.56 and 494.06

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Solution

The third proportional to 234.56 and 494.06 is: 1,040.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.56 : 494.06 = 494.06 : x
  2. Step 2: Convert to fraction form
    234.56/494.06 = 494.06/x
  3. Step 3: Cross multiply
    234.56x = 494.06 × 494.06
  4. Step 4: Simplify right side
    234.56x = 244,097.75
  5. Step 5: Solve for x
    x = 244,097.75/234.56
  6. Step 6: Final answer
    x = 1,040.65

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.