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Finding the Third Proportional to 105,222 and 225,247

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Solution

The third proportional to 105,222 and 225,247 is: 482,182.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,222 : 225,247 = 225,247 : x
  2. Step 2: Convert to fraction form
    105,222/225,247 = 225,247/x
  3. Step 3: Cross multiply
    105,222x = 225,247 × 225,247
  4. Step 4: Simplify right side
    105,222x = 50,736,211,009
  5. Step 5: Solve for x
    x = 50,736,211,009/105,222
  6. Step 6: Final answer
    x = 482,182.54

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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.