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Finding the Third Proportional to 188,953 and 414,766

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Solution

The third proportional to 188,953 and 414,766 is: 910,442.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,953 : 414,766 = 414,766 : x
  2. Step 2: Convert to fraction form
    188,953/414,766 = 414,766/x
  3. Step 3: Cross multiply
    188,953x = 414,766 × 414,766
  4. Step 4: Simplify right side
    188,953x = 172,030,834,756
  5. Step 5: Solve for x
    x = 172,030,834,756/188,953
  6. Step 6: Final answer
    x = 910,442.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.