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Finding the Third Proportional to 203,567 and 299,268

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Solution

The third proportional to 203,567 and 299,268 is: 439,959.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,567 : 299,268 = 299,268 : x
  2. Step 2: Convert to fraction form
    203,567/299,268 = 299,268/x
  3. Step 3: Cross multiply
    203,567x = 299,268 × 299,268
  4. Step 4: Simplify right side
    203,567x = 89,561,335,824
  5. Step 5: Solve for x
    x = 89,561,335,824/203,567
  6. Step 6: Final answer
    x = 439,959.99

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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.