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Finding the Third Proportional to 203,496.75 and 443,152.13

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Solution

The third proportional to 203,496.75 and 443,152.13 is: 965,046.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,496.75 : 443,152.13 = 443,152.13 : x
  2. Step 2: Convert to fraction form
    203,496.75/443,152.13 = 443,152.13/x
  3. Step 3: Cross multiply
    203,496.75x = 443,152.13 × 443,152.13
  4. Step 4: Simplify right side
    203,496.75x = 196,383,805,892.02
  5. Step 5: Solve for x
    x = 196,383,805,892.02/203,496.75
  6. Step 6: Final answer
    x = 965,046.40

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.