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Finding the Third Proportional to 117,891 and 241,229

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Solution

The third proportional to 117,891 and 241,229 is: 493,603.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,891 : 241,229 = 241,229 : x
  2. Step 2: Convert to fraction form
    117,891/241,229 = 241,229/x
  3. Step 3: Cross multiply
    117,891x = 241,229 × 241,229
  4. Step 4: Simplify right side
    117,891x = 58,191,430,441
  5. Step 5: Solve for x
    x = 58,191,430,441/117,891
  6. Step 6: Final answer
    x = 493,603.67

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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.