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Finding the Third Proportional to 203,942 and 437,416

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Solution

The third proportional to 203,942 and 437,416 is: 938,172.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,942 : 437,416 = 437,416 : x
  2. Step 2: Convert to fraction form
    203,942/437,416 = 437,416/x
  3. Step 3: Cross multiply
    203,942x = 437,416 × 437,416
  4. Step 4: Simplify right side
    203,942x = 191,332,757,056
  5. Step 5: Solve for x
    x = 191,332,757,056/203,942
  6. Step 6: Final answer
    x = 938,172.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.