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Finding the Third Proportional to 203,172 and 440,244

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Solution

The third proportional to 203,172 and 440,244 is: 953,944.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,172 : 440,244 = 440,244 : x
  2. Step 2: Convert to fraction form
    203,172/440,244 = 440,244/x
  3. Step 3: Cross multiply
    203,172x = 440,244 × 440,244
  4. Step 4: Simplify right side
    203,172x = 193,814,779,536
  5. Step 5: Solve for x
    x = 193,814,779,536/203,172
  6. Step 6: Final answer
    x = 953,944.34

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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.