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Finding the Third Proportional to 106,839 and 228,501

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Solution

The third proportional to 106,839 and 228,501 is: 488,704.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,839 : 228,501 = 228,501 : x
  2. Step 2: Convert to fraction form
    106,839/228,501 = 228,501/x
  3. Step 3: Cross multiply
    106,839x = 228,501 × 228,501
  4. Step 4: Simplify right side
    106,839x = 52,212,707,001
  5. Step 5: Solve for x
    x = 52,212,707,001/106,839
  6. Step 6: Final answer
    x = 488,704.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.