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Finding the Third Proportional to 203,616 and 299,322

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Solution

The third proportional to 203,616 and 299,322 is: 440,012.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,616 : 299,322 = 299,322 : x
  2. Step 2: Convert to fraction form
    203,616/299,322 = 299,322/x
  3. Step 3: Cross multiply
    203,616x = 299,322 × 299,322
  4. Step 4: Simplify right side
    203,616x = 89,593,659,684
  5. Step 5: Solve for x
    x = 89,593,659,684/203,616
  6. Step 6: Final answer
    x = 440,012.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.