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Finding the Third Proportional to 117,892 and 241,231

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Solution

The third proportional to 117,892 and 241,231 is: 493,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,892 : 241,231 = 241,231 : x
  2. Step 2: Convert to fraction form
    117,892/241,231 = 241,231/x
  3. Step 3: Cross multiply
    117,892x = 241,231 × 241,231
  4. Step 4: Simplify right side
    117,892x = 58,192,395,361
  5. Step 5: Solve for x
    x = 58,192,395,361/117,892
  6. Step 6: Final answer
    x = 493,607.67

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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.