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Finding the Third Proportional to 241,162 and 354,766

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Solution

The third proportional to 241,162 and 354,766 is: 521,885.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,162 : 354,766 = 354,766 : x
  2. Step 2: Convert to fraction form
    241,162/354,766 = 354,766/x
  3. Step 3: Cross multiply
    241,162x = 354,766 × 354,766
  4. Step 4: Simplify right side
    241,162x = 125,858,914,756
  5. Step 5: Solve for x
    x = 125,858,914,756/241,162
  6. Step 6: Final answer
    x = 521,885.35

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.