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Finding the Third Proportional to 179,382 and 370,425

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Solution

The third proportional to 179,382 and 370,425 is: 764,930.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,382 : 370,425 = 370,425 : x
  2. Step 2: Convert to fraction form
    179,382/370,425 = 370,425/x
  3. Step 3: Cross multiply
    179,382x = 370,425 × 370,425
  4. Step 4: Simplify right side
    179,382x = 137,214,680,625
  5. Step 5: Solve for x
    x = 137,214,680,625/179,382
  6. Step 6: Final answer
    x = 764,930.04

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.