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Finding the Third Proportional to 298.69 and 453.73

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Solution

The third proportional to 298.69 and 453.73 is: 689.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.69 : 453.73 = 453.73 : x
  2. Step 2: Convert to fraction form
    298.69/453.73 = 453.73/x
  3. Step 3: Cross multiply
    298.69x = 453.73 × 453.73
  4. Step 4: Simplify right side
    298.69x = 205,867.79
  5. Step 5: Solve for x
    x = 205,867.79/298.69
  6. Step 6: Final answer
    x = 689.24

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.