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Finding the Third Proportional to 116,556 and 241,408

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Solution

The third proportional to 116,556 and 241,408 is: 499,998.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,556 : 241,408 = 241,408 : x
  2. Step 2: Convert to fraction form
    116,556/241,408 = 241,408/x
  3. Step 3: Cross multiply
    116,556x = 241,408 × 241,408
  4. Step 4: Simplify right side
    116,556x = 58,277,822,464
  5. Step 5: Solve for x
    x = 58,277,822,464/116,556
  6. Step 6: Final answer
    x = 499,998.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.