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Finding the Third Proportional to 267,346 and 376,150

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Solution

The third proportional to 267,346 and 376,150 is: 529,234.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,346 : 376,150 = 376,150 : x
  2. Step 2: Convert to fraction form
    267,346/376,150 = 376,150/x
  3. Step 3: Cross multiply
    267,346x = 376,150 × 376,150
  4. Step 4: Simplify right side
    267,346x = 141,488,822,500
  5. Step 5: Solve for x
    x = 141,488,822,500/267,346
  6. Step 6: Final answer
    x = 529,234.86

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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.