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Finding the Third Proportional to 224 and 243

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Solution

The third proportional to 224 and 243 is: 263.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224 : 243 = 243 : x
  2. Step 2: Convert to fraction form
    224/243 = 243/x
  3. Step 3: Cross multiply
    224x = 243 × 243
  4. Step 4: Simplify right side
    224x = 59,049
  5. Step 5: Solve for x
    x = 59,049/224
  6. Step 6: Final answer
    x = 263.61

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.