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Finding the Third Proportional to 203,905.50 and 439,059

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Solution

The third proportional to 203,905.50 and 439,059 is: 945,402.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,905.50 : 439,059 = 439,059 : x
  2. Step 2: Convert to fraction form
    203,905.50/439,059 = 439,059/x
  3. Step 3: Cross multiply
    203,905.50x = 439,059 × 439,059
  4. Step 4: Simplify right side
    203,905.50x = 192,772,805,481
  5. Step 5: Solve for x
    x = 192,772,805,481/203,905.50
  6. Step 6: Final answer
    x = 945,402.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.