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Finding the Third Proportional to 105,234 and 225,228

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Solution

The third proportional to 105,234 and 225,228 is: 482,046.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,234 : 225,228 = 225,228 : x
  2. Step 2: Convert to fraction form
    105,234/225,228 = 225,228/x
  3. Step 3: Cross multiply
    105,234x = 225,228 × 225,228
  4. Step 4: Simplify right side
    105,234x = 50,727,651,984
  5. Step 5: Solve for x
    x = 50,727,651,984/105,234
  6. Step 6: Final answer
    x = 482,046.22

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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.