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Finding the Third Proportional to 140,890.50 and 332,249.25

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Solution

The third proportional to 140,890.50 and 332,249.25 is: 783,513.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,890.50 : 332,249.25 = 332,249.25 : x
  2. Step 2: Convert to fraction form
    140,890.50/332,249.25 = 332,249.25/x
  3. Step 3: Cross multiply
    140,890.50x = 332,249.25 × 332,249.25
  4. Step 4: Simplify right side
    140,890.50x = 110,389,564,125.56
  5. Step 5: Solve for x
    x = 110,389,564,125.56/140,890.50
  6. Step 6: Final answer
    x = 783,513.18

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.