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Finding the Third Proportional to 225,867 and 309,735

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Solution

The third proportional to 225,867 and 309,735 is: 424,744.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,867 : 309,735 = 309,735 : x
  2. Step 2: Convert to fraction form
    225,867/309,735 = 309,735/x
  3. Step 3: Cross multiply
    225,867x = 309,735 × 309,735
  4. Step 4: Simplify right side
    225,867x = 95,935,770,225
  5. Step 5: Solve for x
    x = 95,935,770,225/225,867
  6. Step 6: Final answer
    x = 424,744.52

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.