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Finding the Third Proportional to 203,838 and 299,760

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Solution

The third proportional to 203,838 and 299,760 is: 440,820.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,838 : 299,760 = 299,760 : x
  2. Step 2: Convert to fraction form
    203,838/299,760 = 299,760/x
  3. Step 3: Cross multiply
    203,838x = 299,760 × 299,760
  4. Step 4: Simplify right side
    203,838x = 89,856,057,600
  5. Step 5: Solve for x
    x = 89,856,057,600/203,838
  6. Step 6: Final answer
    x = 440,820.93

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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.