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Finding the Third Proportional to 203,350.50 and 271,660.50

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Solution

The third proportional to 203,350.50 and 271,660.50 is: 362,917.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,350.50 : 271,660.50 = 271,660.50 : x
  2. Step 2: Convert to fraction form
    203,350.50/271,660.50 = 271,660.50/x
  3. Step 3: Cross multiply
    203,350.50x = 271,660.50 × 271,660.50
  4. Step 4: Simplify right side
    203,350.50x = 73,799,427,260.25
  5. Step 5: Solve for x
    x = 73,799,427,260.25/203,350.50
  6. Step 6: Final answer
    x = 362,917.36

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.