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Finding the Third Proportional to 180,928 and 395,396

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Solution

The third proportional to 180,928 and 395,396 is: 864,089.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,928 : 395,396 = 395,396 : x
  2. Step 2: Convert to fraction form
    180,928/395,396 = 395,396/x
  3. Step 3: Cross multiply
    180,928x = 395,396 × 395,396
  4. Step 4: Simplify right side
    180,928x = 156,337,996,816
  5. Step 5: Solve for x
    x = 156,337,996,816/180,928
  6. Step 6: Final answer
    x = 864,089.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.