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Finding the Third Proportional to 117,889 and 241,225

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Solution

The third proportional to 117,889 and 241,225 is: 493,595.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,889 : 241,225 = 241,225 : x
  2. Step 2: Convert to fraction form
    117,889/241,225 = 241,225/x
  3. Step 3: Cross multiply
    117,889x = 241,225 × 241,225
  4. Step 4: Simplify right side
    117,889x = 58,189,500,625
  5. Step 5: Solve for x
    x = 58,189,500,625/117,889
  6. Step 6: Final answer
    x = 493,595.68

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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.