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Finding the Third Proportional to 140,883 and 332,232.75

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Solution

The third proportional to 140,883 and 332,232.75 is: 783,477.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,883 : 332,232.75 = 332,232.75 : x
  2. Step 2: Convert to fraction form
    140,883/332,232.75 = 332,232.75/x
  3. Step 3: Cross multiply
    140,883x = 332,232.75 × 332,232.75
  4. Step 4: Simplify right side
    140,883x = 110,378,600,172.56
  5. Step 5: Solve for x
    x = 110,378,600,172.56/140,883
  6. Step 6: Final answer
    x = 783,477.07

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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.