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Finding the Third Proportional to 185,978 and 270,327

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Solution

The third proportional to 185,978 and 270,327 is: 392,931.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,978 : 270,327 = 270,327 : x
  2. Step 2: Convert to fraction form
    185,978/270,327 = 270,327/x
  3. Step 3: Cross multiply
    185,978x = 270,327 × 270,327
  4. Step 4: Simplify right side
    185,978x = 73,076,686,929
  5. Step 5: Solve for x
    x = 73,076,686,929/185,978
  6. Step 6: Final answer
    x = 392,931.89

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