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Finding the Third Proportional to 224 and 386

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Solution

The third proportional to 224 and 386 is: 665.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 386 = 386 : x
  2. Step 2: Convert to fraction form
    224/386 = 386/x
  3. Step 3: Cross multiply
    224x = 386 × 386
  4. Step 4: Simplify right side
    224x = 148,996
  5. Step 5: Solve for x
    x = 148,996/224
  6. Step 6: Final answer
    x = 665.16

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.