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Finding the Third Proportional to 267,343 and 376,147

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Solution

The third proportional to 267,343 and 376,147 is: 529,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,343 : 376,147 = 376,147 : x
  2. Step 2: Convert to fraction form
    267,343/376,147 = 376,147/x
  3. Step 3: Cross multiply
    267,343x = 376,147 × 376,147
  4. Step 4: Simplify right side
    267,343x = 141,486,565,609
  5. Step 5: Solve for x
    x = 141,486,565,609/267,343
  6. Step 6: Final answer
    x = 529,232.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.