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Finding the Third Proportional to 179,825 and 364,966

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Solution

The third proportional to 179,825 and 364,966 is: 740,721.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,825 : 364,966 = 364,966 : x
  2. Step 2: Convert to fraction form
    179,825/364,966 = 364,966/x
  3. Step 3: Cross multiply
    179,825x = 364,966 × 364,966
  4. Step 4: Simplify right side
    179,825x = 133,200,181,156
  5. Step 5: Solve for x
    x = 133,200,181,156/179,825
  6. Step 6: Final answer
    x = 740,721.15

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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.