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Finding the Third Proportional to 225,869 and 309,738

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Solution

The third proportional to 225,869 and 309,738 is: 424,748.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,869 : 309,738 = 309,738 : x
  2. Step 2: Convert to fraction form
    225,869/309,738 = 309,738/x
  3. Step 3: Cross multiply
    225,869x = 309,738 × 309,738
  4. Step 4: Simplify right side
    225,869x = 95,937,628,644
  5. Step 5: Solve for x
    x = 95,937,628,644/225,869
  6. Step 6: Final answer
    x = 424,748.99

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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.