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Finding the Third Proportional to 203,102 and 440,102

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Solution

The third proportional to 203,102 and 440,102 is: 953,657.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,102 : 440,102 = 440,102 : x
  2. Step 2: Convert to fraction form
    203,102/440,102 = 440,102/x
  3. Step 3: Cross multiply
    203,102x = 440,102 × 440,102
  4. Step 4: Simplify right side
    203,102x = 193,689,770,404
  5. Step 5: Solve for x
    x = 193,689,770,404/203,102
  6. Step 6: Final answer
    x = 953,657.62

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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.