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Finding the Third Proportional to 234.14 and 496.76

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Solution

The third proportional to 234.14 and 496.76 is: 1,053.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.14 : 496.76 = 496.76 : x
  2. Step 2: Convert to fraction form
    234.14/496.76 = 496.76/x
  3. Step 3: Cross multiply
    234.14x = 496.76 × 496.76
  4. Step 4: Simplify right side
    234.14x = 246,768.32
  5. Step 5: Solve for x
    x = 246,768.32/234.14
  6. Step 6: Final answer
    x = 1,053.93

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.