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Finding the Third Proportional to 299.25 and 446.63

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Solution

The third proportional to 299.25 and 446.63 is: 666.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    299.25 : 446.63 = 446.63 : x
  2. Step 2: Convert to fraction form
    299.25/446.63 = 446.63/x
  3. Step 3: Cross multiply
    299.25x = 446.63 × 446.63
  4. Step 4: Simplify right side
    299.25x = 199,473.89
  5. Step 5: Solve for x
    x = 199,473.89/299.25
  6. Step 6: Final answer
    x = 666.58

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Why These Related Problems?

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