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Finding the Third Proportional to 203,924 and 299,867

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Solution

The third proportional to 203,924 and 299,867 is: 440,949.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,924 : 299,867 = 299,867 : x
  2. Step 2: Convert to fraction form
    203,924/299,867 = 299,867/x
  3. Step 3: Cross multiply
    203,924x = 299,867 × 299,867
  4. Step 4: Simplify right side
    203,924x = 89,920,217,689
  5. Step 5: Solve for x
    x = 89,920,217,689/203,924
  6. Step 6: Final answer
    x = 440,949.66

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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.