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Finding the Third Proportional to 105,239.25 and 225,225

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Solution

The third proportional to 105,239.25 and 225,225 is: 482,009.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,239.25 : 225,225 = 225,225 : x
  2. Step 2: Convert to fraction form
    105,239.25/225,225 = 225,225/x
  3. Step 3: Cross multiply
    105,239.25x = 225,225 × 225,225
  4. Step 4: Simplify right side
    105,239.25x = 50,726,300,625
  5. Step 5: Solve for x
    x = 50,726,300,625/105,239.25
  6. Step 6: Final answer
    x = 482,009.33

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.