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Finding the Third Proportional to 183,785 and 395,729

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Solution

The third proportional to 183,785 and 395,729 is: 852,090.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,785 : 395,729 = 395,729 : x
  2. Step 2: Convert to fraction form
    183,785/395,729 = 395,729/x
  3. Step 3: Cross multiply
    183,785x = 395,729 × 395,729
  4. Step 4: Simplify right side
    183,785x = 156,601,441,441
  5. Step 5: Solve for x
    x = 156,601,441,441/183,785
  6. Step 6: Final answer
    x = 852,090.44

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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.