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Finding the Third Proportional to 140,028.75 and 215,233.88

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Solution

The third proportional to 140,028.75 and 215,233.88 is: 330,829.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,028.75 : 215,233.88 = 215,233.88 : x
  2. Step 2: Convert to fraction form
    140,028.75/215,233.88 = 215,233.88/x
  3. Step 3: Cross multiply
    140,028.75x = 215,233.88 × 215,233.88
  4. Step 4: Simplify right side
    140,028.75x = 46,325,620,947.52
  5. Step 5: Solve for x
    x = 46,325,620,947.52/140,028.75
  6. Step 6: Final answer
    x = 330,829.35

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