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Finding the Third Proportional to 234.49 and 456.96

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Solution

The third proportional to 234.49 and 456.96 is: 890.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    234.49 : 456.96 = 456.96 : x
  2. Step 2: Convert to fraction form
    234.49/456.96 = 456.96/x
  3. Step 3: Cross multiply
    234.49x = 456.96 × 456.96
  4. Step 4: Simplify right side
    234.49x = 208,813.30
  5. Step 5: Solve for x
    x = 208,813.30/234.49
  6. Step 6: Final answer
    x = 890.49

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.