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Finding the Third Proportional to 103,658 and 226,077

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Solution

The third proportional to 103,658 and 226,077 is: 493,071.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,658 : 226,077 = 226,077 : x
  2. Step 2: Convert to fraction form
    103,658/226,077 = 226,077/x
  3. Step 3: Cross multiply
    103,658x = 226,077 × 226,077
  4. Step 4: Simplify right side
    103,658x = 51,110,809,929
  5. Step 5: Solve for x
    x = 51,110,809,929/103,658
  6. Step 6: Final answer
    x = 493,071.54

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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.