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Finding the Third Proportional to 267,344 and 376,147.50

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Solution

The third proportional to 267,344 and 376,147.50 is: 529,231.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,344 : 376,147.50 = 376,147.50 : x
  2. Step 2: Convert to fraction form
    267,344/376,147.50 = 376,147.50/x
  3. Step 3: Cross multiply
    267,344x = 376,147.50 × 376,147.50
  4. Step 4: Simplify right side
    267,344x = 141,486,941,756.25
  5. Step 5: Solve for x
    x = 141,486,941,756.25/267,344
  6. Step 6: Final answer
    x = 529,231.78

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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.