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Finding the Third Proportional to 203,692 and 299,624

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Solution

The third proportional to 203,692 and 299,624 is: 440,736.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,692 : 299,624 = 299,624 : x
  2. Step 2: Convert to fraction form
    203,692/299,624 = 299,624/x
  3. Step 3: Cross multiply
    203,692x = 299,624 × 299,624
  4. Step 4: Simplify right side
    203,692x = 89,774,541,376
  5. Step 5: Solve for x
    x = 89,774,541,376/203,692
  6. Step 6: Final answer
    x = 440,736.71

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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.