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Finding the Third Proportional to 183,782 and 395,723

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Solution

The third proportional to 183,782 and 395,723 is: 852,078.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,782 : 395,723 = 395,723 : x
  2. Step 2: Convert to fraction form
    183,782/395,723 = 395,723/x
  3. Step 3: Cross multiply
    183,782x = 395,723 × 395,723
  4. Step 4: Simplify right side
    183,782x = 156,596,692,729
  5. Step 5: Solve for x
    x = 156,596,692,729/183,782
  6. Step 6: Final answer
    x = 852,078.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.