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Finding the Third Proportional to 140,511.38 and 214,268.63

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Solution

The third proportional to 140,511.38 and 214,268.63 is: 326,742.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,511.38 : 214,268.63 = 214,268.63 : x
  2. Step 2: Convert to fraction form
    140,511.38/214,268.63 = 214,268.63/x
  3. Step 3: Cross multiply
    140,511.38x = 214,268.63 × 214,268.63
  4. Step 4: Simplify right side
    140,511.38x = 45,911,043,659.39
  5. Step 5: Solve for x
    x = 45,911,043,659.39/140,511.38
  6. Step 6: Final answer
    x = 326,742.54

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Why These Related Problems?

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