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Finding the Third Proportional to 203,149 and 437,516

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Solution

The third proportional to 203,149 and 437,516 is: 942,265.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,149 : 437,516 = 437,516 : x
  2. Step 2: Convert to fraction form
    203,149/437,516 = 437,516/x
  3. Step 3: Cross multiply
    203,149x = 437,516 × 437,516
  4. Step 4: Simplify right side
    203,149x = 191,420,250,256
  5. Step 5: Solve for x
    x = 191,420,250,256/203,149
  6. Step 6: Final answer
    x = 942,265.28

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.