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Finding the Third Proportional to 214,982 and 300,683

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Solution

The third proportional to 214,982 and 300,683 is: 420,548.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,982 : 300,683 = 300,683 : x
  2. Step 2: Convert to fraction form
    214,982/300,683 = 300,683/x
  3. Step 3: Cross multiply
    214,982x = 300,683 × 300,683
  4. Step 4: Simplify right side
    214,982x = 90,410,266,489
  5. Step 5: Solve for x
    x = 90,410,266,489/214,982
  6. Step 6: Final answer
    x = 420,548.08

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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.