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Finding the Third Proportional to 203,514 and 299,175

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Solution

The third proportional to 203,514 and 299,175 is: 439,801.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,514 : 299,175 = 299,175 : x
  2. Step 2: Convert to fraction form
    203,514/299,175 = 299,175/x
  3. Step 3: Cross multiply
    203,514x = 299,175 × 299,175
  4. Step 4: Simplify right side
    203,514x = 89,505,680,625
  5. Step 5: Solve for x
    x = 89,505,680,625/203,514
  6. Step 6: Final answer
    x = 439,801.10

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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.