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Finding the Third Proportional to 203,427 and 295,906.50

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Solution

The third proportional to 203,427 and 295,906.50 is: 430,427.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,427 : 295,906.50 = 295,906.50 : x
  2. Step 2: Convert to fraction form
    203,427/295,906.50 = 295,906.50/x
  3. Step 3: Cross multiply
    203,427x = 295,906.50 × 295,906.50
  4. Step 4: Simplify right side
    203,427x = 87,560,656,742.25
  5. Step 5: Solve for x
    x = 87,560,656,742.25/203,427
  6. Step 6: Final answer
    x = 430,427.90

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.