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Finding the Third Proportional to 185,980 and 270,330

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Solution

The third proportional to 185,980 and 270,330 is: 392,936.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,980 : 270,330 = 270,330 : x
  2. Step 2: Convert to fraction form
    185,980/270,330 = 270,330/x
  3. Step 3: Cross multiply
    185,980x = 270,330 × 270,330
  4. Step 4: Simplify right side
    185,980x = 73,078,308,900
  5. Step 5: Solve for x
    x = 73,078,308,900/185,980
  6. Step 6: Final answer
    x = 392,936.39

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.