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Finding the Third Proportional to 100,634 and 213,256

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Solution

The third proportional to 100,634 and 213,256 is: 451,916.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,634 : 213,256 = 213,256 : x
  2. Step 2: Convert to fraction form
    100,634/213,256 = 213,256/x
  3. Step 3: Cross multiply
    100,634x = 213,256 × 213,256
  4. Step 4: Simplify right side
    100,634x = 45,478,121,536
  5. Step 5: Solve for x
    x = 45,478,121,536/100,634
  6. Step 6: Final answer
    x = 451,916.07

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.