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Finding the Third Proportional to 230,823 and 354,300.75

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Solution

The third proportional to 230,823 and 354,300.75 is: 543,832.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,823 : 354,300.75 = 354,300.75 : x
  2. Step 2: Convert to fraction form
    230,823/354,300.75 = 354,300.75/x
  3. Step 3: Cross multiply
    230,823x = 354,300.75 × 354,300.75
  4. Step 4: Simplify right side
    230,823x = 125,529,021,450.56
  5. Step 5: Solve for x
    x = 125,529,021,450.56/230,823
  6. Step 6: Final answer
    x = 543,832.38

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.