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Finding the Third Proportional to 214,626 and 332,176

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Solution

The third proportional to 214,626 and 332,176 is: 514,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,626 : 332,176 = 332,176 : x
  2. Step 2: Convert to fraction form
    214,626/332,176 = 332,176/x
  3. Step 3: Cross multiply
    214,626x = 332,176 × 332,176
  4. Step 4: Simplify right side
    214,626x = 110,340,894,976
  5. Step 5: Solve for x
    x = 110,340,894,976/214,626
  6. Step 6: Final answer
    x = 514,107.77

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.