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Finding the Third Proportional to 227,016 and 340,524

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Solution

The third proportional to 227,016 and 340,524 is: 510,786

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,016 : 340,524 = 340,524 : x
  2. Step 2: Convert to fraction form
    227,016/340,524 = 340,524/x
  3. Step 3: Cross multiply
    227,016x = 340,524 × 340,524
  4. Step 4: Simplify right side
    227,016x = 115,956,594,576
  5. Step 5: Solve for x
    x = 115,956,594,576/227,016
  6. Step 6: Final answer
    x = 510,786

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.