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Finding the Third Proportional to 267,940 and 357,182

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Solution

The third proportional to 267,940 and 357,182 is: 476,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,940 : 357,182 = 357,182 : x
  2. Step 2: Convert to fraction form
    267,940/357,182 = 357,182/x
  3. Step 3: Cross multiply
    267,940x = 357,182 × 357,182
  4. Step 4: Simplify right side
    267,940x = 127,578,981,124
  5. Step 5: Solve for x
    x = 127,578,981,124/267,940
  6. Step 6: Final answer
    x = 476,147.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.