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Finding the Third Proportional to 225,234 and 303,374

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Solution

The third proportional to 225,234 and 303,374 is: 408,622.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,234 : 303,374 = 303,374 : x
  2. Step 2: Convert to fraction form
    225,234/303,374 = 303,374/x
  3. Step 3: Cross multiply
    225,234x = 303,374 × 303,374
  4. Step 4: Simplify right side
    225,234x = 92,035,783,876
  5. Step 5: Solve for x
    x = 92,035,783,876/225,234
  6. Step 6: Final answer
    x = 408,622.96

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.