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Finding the Third Proportional to 214,551 and 300,098

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Solution

The third proportional to 214,551 and 300,098 is: 419,754.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,551 : 300,098 = 300,098 : x
  2. Step 2: Convert to fraction form
    214,551/300,098 = 300,098/x
  3. Step 3: Cross multiply
    214,551x = 300,098 × 300,098
  4. Step 4: Simplify right side
    214,551x = 90,058,809,604
  5. Step 5: Solve for x
    x = 90,058,809,604/214,551
  6. Step 6: Final answer
    x = 419,754.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.