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Finding the Third Proportional to 179,827 and 364,970

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Solution

The third proportional to 179,827 and 364,970 is: 740,729.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,827 : 364,970 = 364,970 : x
  2. Step 2: Convert to fraction form
    179,827/364,970 = 364,970/x
  3. Step 3: Cross multiply
    179,827x = 364,970 × 364,970
  4. Step 4: Simplify right side
    179,827x = 133,203,100,900
  5. Step 5: Solve for x
    x = 133,203,100,900/179,827
  6. Step 6: Final answer
    x = 740,729.15

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.