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Finding the Third Proportional to 188,446 and 264,103

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Solution

The third proportional to 188,446 and 264,103 is: 370,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,446 : 264,103 = 264,103 : x
  2. Step 2: Convert to fraction form
    188,446/264,103 = 264,103/x
  3. Step 3: Cross multiply
    188,446x = 264,103 × 264,103
  4. Step 4: Simplify right side
    188,446x = 69,750,394,609
  5. Step 5: Solve for x
    x = 69,750,394,609/188,446
  6. Step 6: Final answer
    x = 370,134.65

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.