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Finding the Third Proportional to 224.44 and 526.78

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Solution

The third proportional to 224.44 and 526.78 is: 1,236.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.44 : 526.78 = 526.78 : x
  2. Step 2: Convert to fraction form
    224.44/526.78 = 526.78/x
  3. Step 3: Cross multiply
    224.44x = 526.78 × 526.78
  4. Step 4: Simplify right side
    224.44x = 277,498.49
  5. Step 5: Solve for x
    x = 277,498.49/224.44
  6. Step 6: Final answer
    x = 1,236.42

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.