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Finding the Third Proportional to 140,429.50 and 215,337

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Solution

The third proportional to 140,429.50 and 215,337 is: 330,201.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,429.50 : 215,337 = 215,337 : x
  2. Step 2: Convert to fraction form
    140,429.50/215,337 = 215,337/x
  3. Step 3: Cross multiply
    140,429.50x = 215,337 × 215,337
  4. Step 4: Simplify right side
    140,429.50x = 46,370,023,569
  5. Step 5: Solve for x
    x = 46,370,023,569/140,429.50
  6. Step 6: Final answer
    x = 330,201.44

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.