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Finding the Third Proportional to 298.88 and 446.69

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Solution

The third proportional to 298.88 and 446.69 is: 667.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    298.88 : 446.69 = 446.69 : x
  2. Step 2: Convert to fraction form
    298.88/446.69 = 446.69/x
  3. Step 3: Cross multiply
    298.88x = 446.69 × 446.69
  4. Step 4: Simplify right side
    298.88x = 199,529.72
  5. Step 5: Solve for x
    x = 199,529.72/298.88
  6. Step 6: Final answer
    x = 667.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.