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Finding the Third Proportional to 140,868.75 and 332,199.75

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Solution

The third proportional to 140,868.75 and 332,199.75 is: 783,400.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,868.75 : 332,199.75 = 332,199.75 : x
  2. Step 2: Convert to fraction form
    140,868.75/332,199.75 = 332,199.75/x
  3. Step 3: Cross multiply
    140,868.75x = 332,199.75 × 332,199.75
  4. Step 4: Simplify right side
    140,868.75x = 110,356,673,900.06
  5. Step 5: Solve for x
    x = 110,356,673,900.06/140,868.75
  6. Step 6: Final answer
    x = 783,400.68

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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.