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Finding the Third Proportional to 214,626 and 332,022

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Solution

The third proportional to 214,626 and 332,022 is: 513,631.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,626 : 332,022 = 332,022 : x
  2. Step 2: Convert to fraction form
    214,626/332,022 = 332,022/x
  3. Step 3: Cross multiply
    214,626x = 332,022 × 332,022
  4. Step 4: Simplify right side
    214,626x = 110,238,608,484
  5. Step 5: Solve for x
    x = 110,238,608,484/214,626
  6. Step 6: Final answer
    x = 513,631.19

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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.