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Finding the Third Proportional to 180,922.50 and 395,379

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Solution

The third proportional to 180,922.50 and 395,379 is: 864,041.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,922.50 : 395,379 = 395,379 : x
  2. Step 2: Convert to fraction form
    180,922.50/395,379 = 395,379/x
  3. Step 3: Cross multiply
    180,922.50x = 395,379 × 395,379
  4. Step 4: Simplify right side
    180,922.50x = 156,324,553,641
  5. Step 5: Solve for x
    x = 156,324,553,641/180,922.50
  6. Step 6: Final answer
    x = 864,041.53

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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.