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Finding the Third Proportional to 237,678 and 356,568

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Solution

The third proportional to 237,678 and 356,568 is: 534,928.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,678 : 356,568 = 356,568 : x
  2. Step 2: Convert to fraction form
    237,678/356,568 = 356,568/x
  3. Step 3: Cross multiply
    237,678x = 356,568 × 356,568
  4. Step 4: Simplify right side
    237,678x = 127,140,738,624
  5. Step 5: Solve for x
    x = 127,140,738,624/237,678
  6. Step 6: Final answer
    x = 534,928.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.