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Finding the Third Proportional to 227,452 and 356,000

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Solution

The third proportional to 227,452 and 356,000 is: 557,198.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,452 : 356,000 = 356,000 : x
  2. Step 2: Convert to fraction form
    227,452/356,000 = 356,000/x
  3. Step 3: Cross multiply
    227,452x = 356,000 × 356,000
  4. Step 4: Simplify right side
    227,452x = 126,736,000,000
  5. Step 5: Solve for x
    x = 126,736,000,000/227,452
  6. Step 6: Final answer
    x = 557,198.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.