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Finding the Third Proportional to 185,858 and 395,692

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Solution

The third proportional to 185,858 and 395,692 is: 842,428.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,858 : 395,692 = 395,692 : x
  2. Step 2: Convert to fraction form
    185,858/395,692 = 395,692/x
  3. Step 3: Cross multiply
    185,858x = 395,692 × 395,692
  4. Step 4: Simplify right side
    185,858x = 156,572,158,864
  5. Step 5: Solve for x
    x = 156,572,158,864/185,858
  6. Step 6: Final answer
    x = 842,428.95

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.