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Finding the Third Proportional to 185,666 and 270,675

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Solution

The third proportional to 185,666 and 270,675 is: 394,606.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,666 : 270,675 = 270,675 : x
  2. Step 2: Convert to fraction form
    185,666/270,675 = 270,675/x
  3. Step 3: Cross multiply
    185,666x = 270,675 × 270,675
  4. Step 4: Simplify right side
    185,666x = 73,264,955,625
  5. Step 5: Solve for x
    x = 73,264,955,625/185,666
  6. Step 6: Final answer
    x = 394,606.20

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.