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Finding the Third Proportional to 229.41 and 491.44

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Solution

The third proportional to 229.41 and 491.44 is: 1,052.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    229.41 : 491.44 = 491.44 : x
  2. Step 2: Convert to fraction form
    229.41/491.44 = 491.44/x
  3. Step 3: Cross multiply
    229.41x = 491.44 × 491.44
  4. Step 4: Simplify right side
    229.41x = 241,510.82
  5. Step 5: Solve for x
    x = 241,510.82/229.41
  6. Step 6: Final answer
    x = 1,052.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.