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Finding the Third Proportional to 156,736 and 238,772

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Solution

The third proportional to 156,736 and 238,772 is: 363,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,736 : 238,772 = 238,772 : x
  2. Step 2: Convert to fraction form
    156,736/238,772 = 238,772/x
  3. Step 3: Cross multiply
    156,736x = 238,772 × 238,772
  4. Step 4: Simplify right side
    156,736x = 57,012,067,984
  5. Step 5: Solve for x
    x = 57,012,067,984/156,736
  6. Step 6: Final answer
    x = 363,745.84

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.