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Finding the Third Proportional to 267,548 and 356,670

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Solution

The third proportional to 267,548 and 356,670 is: 475,479.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,548 : 356,670 = 356,670 : x
  2. Step 2: Convert to fraction form
    267,548/356,670 = 356,670/x
  3. Step 3: Cross multiply
    267,548x = 356,670 × 356,670
  4. Step 4: Simplify right side
    267,548x = 127,213,488,900
  5. Step 5: Solve for x
    x = 127,213,488,900/267,548
  6. Step 6: Final answer
    x = 475,479.12

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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.