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Finding the Third Proportional to 203,568.75 and 299,432.25

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Solution

The third proportional to 203,568.75 and 299,432.25 is: 440,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,568.75 : 299,432.25 = 299,432.25 : x
  2. Step 2: Convert to fraction form
    203,568.75/299,432.25 = 299,432.25/x
  3. Step 3: Cross multiply
    203,568.75x = 299,432.25 × 299,432.25
  4. Step 4: Simplify right side
    203,568.75x = 89,659,672,340.06
  5. Step 5: Solve for x
    x = 89,659,672,340.06/203,568.75
  6. Step 6: Final answer
    x = 440,439.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.