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Finding the Third Proportional to 203,950 and 437,423

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Solution

The third proportional to 203,950 and 437,423 is: 938,165.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,950 : 437,423 = 437,423 : x
  2. Step 2: Convert to fraction form
    203,950/437,423 = 437,423/x
  3. Step 3: Cross multiply
    203,950x = 437,423 × 437,423
  4. Step 4: Simplify right side
    203,950x = 191,338,880,929
  5. Step 5: Solve for x
    x = 191,338,880,929/203,950
  6. Step 6: Final answer
    x = 938,165.63

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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.