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Finding the Third Proportional to 214,686 and 282,393

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Solution

The third proportional to 214,686 and 282,393 is: 371,453.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,686 : 282,393 = 282,393 : x
  2. Step 2: Convert to fraction form
    214,686/282,393 = 282,393/x
  3. Step 3: Cross multiply
    214,686x = 282,393 × 282,393
  4. Step 4: Simplify right side
    214,686x = 79,745,806,449
  5. Step 5: Solve for x
    x = 79,745,806,449/214,686
  6. Step 6: Final answer
    x = 371,453.22

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.