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Finding the Third Proportional to 188,733 and 289,653

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Solution

The third proportional to 188,733 and 289,653 is: 444,537.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,733 : 289,653 = 289,653 : x
  2. Step 2: Convert to fraction form
    188,733/289,653 = 289,653/x
  3. Step 3: Cross multiply
    188,733x = 289,653 × 289,653
  4. Step 4: Simplify right side
    188,733x = 83,898,860,409
  5. Step 5: Solve for x
    x = 83,898,860,409/188,733
  6. Step 6: Final answer
    x = 444,537.31

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.