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Finding the Third Proportional to 117,893 and 241,233

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Solution

The third proportional to 117,893 and 241,233 is: 493,611.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,893 : 241,233 = 241,233 : x
  2. Step 2: Convert to fraction form
    117,893/241,233 = 241,233/x
  3. Step 3: Cross multiply
    117,893x = 241,233 × 241,233
  4. Step 4: Simplify right side
    117,893x = 58,193,360,289
  5. Step 5: Solve for x
    x = 58,193,360,289/117,893
  6. Step 6: Final answer
    x = 493,611.67

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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.