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Finding the Third Proportional to 245,046 and 332,568

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Solution

The third proportional to 245,046 and 332,568 is: 451,349.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,046 : 332,568 = 332,568 : x
  2. Step 2: Convert to fraction form
    245,046/332,568 = 332,568/x
  3. Step 3: Cross multiply
    245,046x = 332,568 × 332,568
  4. Step 4: Simplify right side
    245,046x = 110,601,474,624
  5. Step 5: Solve for x
    x = 110,601,474,624/245,046
  6. Step 6: Final answer
    x = 451,349.85

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.