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Finding the Third Proportional to 140,318 and 213,979

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Solution

The third proportional to 140,318 and 213,979 is: 326,308.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,318 : 213,979 = 213,979 : x
  2. Step 2: Convert to fraction form
    140,318/213,979 = 213,979/x
  3. Step 3: Cross multiply
    140,318x = 213,979 × 213,979
  4. Step 4: Simplify right side
    140,318x = 45,787,012,441
  5. Step 5: Solve for x
    x = 45,787,012,441/140,318
  6. Step 6: Final answer
    x = 326,308.90

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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.