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Finding the Third Proportional to 140,032 and 215,238

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Solution

The third proportional to 140,032 and 215,238 is: 330,834.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,032 : 215,238 = 215,238 : x
  2. Step 2: Convert to fraction form
    140,032/215,238 = 215,238/x
  3. Step 3: Cross multiply
    140,032x = 215,238 × 215,238
  4. Step 4: Simplify right side
    140,032x = 46,327,396,644
  5. Step 5: Solve for x
    x = 46,327,396,644/140,032
  6. Step 6: Final answer
    x = 330,834.36

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.