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Finding the Third Proportional to 116,992.50 and 239,529

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Solution

The third proportional to 116,992.50 and 239,529 is: 490,408.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,992.50 : 239,529 = 239,529 : x
  2. Step 2: Convert to fraction form
    116,992.50/239,529 = 239,529/x
  3. Step 3: Cross multiply
    116,992.50x = 239,529 × 239,529
  4. Step 4: Simplify right side
    116,992.50x = 57,374,141,841
  5. Step 5: Solve for x
    x = 57,374,141,841/116,992.50
  6. Step 6: Final answer
    x = 490,408.72

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.