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Finding the Third Proportional to 103,634 and 226,004

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Solution

The third proportional to 103,634 and 226,004 is: 492,867.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,634 : 226,004 = 226,004 : x
  2. Step 2: Convert to fraction form
    103,634/226,004 = 226,004/x
  3. Step 3: Cross multiply
    103,634x = 226,004 × 226,004
  4. Step 4: Simplify right side
    103,634x = 51,077,808,016
  5. Step 5: Solve for x
    x = 51,077,808,016/103,634
  6. Step 6: Final answer
    x = 492,867.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.