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Finding the Third Proportional to 203,430.75 and 295,912.13

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Solution

The third proportional to 203,430.75 and 295,912.13 is: 430,436.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,430.75 : 295,912.13 = 295,912.13 : x
  2. Step 2: Convert to fraction form
    203,430.75/295,912.13 = 295,912.13/x
  3. Step 3: Cross multiply
    203,430.75x = 295,912.13 × 295,912.13
  4. Step 4: Simplify right side
    203,430.75x = 87,563,985,722.02
  5. Step 5: Solve for x
    x = 87,563,985,722.02/203,430.75
  6. Step 6: Final answer
    x = 430,436.33

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