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Finding the Third Proportional to 140,241.38 and 333,380.81

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Solution

The third proportional to 140,241.38 and 333,380.81 is: 792,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,241.38 : 333,380.81 = 333,380.81 : x
  2. Step 2: Convert to fraction form
    140,241.38/333,380.81 = 333,380.81/x
  3. Step 3: Cross multiply
    140,241.38x = 333,380.81 × 333,380.81
  4. Step 4: Simplify right side
    140,241.38x = 111,142,766,143.16
  5. Step 5: Solve for x
    x = 111,142,766,143.16/140,241.38
  6. Step 6: Final answer
    x = 792,510.53

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.