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Finding the Third Proportional to 203,496.75 and 442,023.75

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Solution

The third proportional to 203,496.75 and 442,023.75 is: 960,138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,496.75 : 442,023.75 = 442,023.75 : x
  2. Step 2: Convert to fraction form
    203,496.75/442,023.75 = 442,023.75/x
  3. Step 3: Cross multiply
    203,496.75x = 442,023.75 × 442,023.75
  4. Step 4: Simplify right side
    203,496.75x = 195,384,995,564.06
  5. Step 5: Solve for x
    x = 195,384,995,564.06/203,496.75
  6. Step 6: Final answer
    x = 960,138.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.