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Finding the Third Proportional to 269.58 and 398.67

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Solution

The third proportional to 269.58 and 398.67 is: 589.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.58 : 398.67 = 398.67 : x
  2. Step 2: Convert to fraction form
    269.58/398.67 = 398.67/x
  3. Step 3: Cross multiply
    269.58x = 398.67 × 398.67
  4. Step 4: Simplify right side
    269.58x = 158,939.26
  5. Step 5: Solve for x
    x = 158,939.26/269.58
  6. Step 6: Final answer
    x = 589.59

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.