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Finding the Third Proportional to 203,110 and 315,910

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Solution

The third proportional to 203,110 and 315,910 is: 491,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,110 : 315,910 = 315,910 : x
  2. Step 2: Convert to fraction form
    203,110/315,910 = 315,910/x
  3. Step 3: Cross multiply
    203,110x = 315,910 × 315,910
  4. Step 4: Simplify right side
    203,110x = 99,799,128,100
  5. Step 5: Solve for x
    x = 99,799,128,100/203,110
  6. Step 6: Final answer
    x = 491,355.07

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.