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Finding the Third Proportional to 214,620 and 332,013

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Solution

The third proportional to 214,620 and 332,013 is: 513,617.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,620 : 332,013 = 332,013 : x
  2. Step 2: Convert to fraction form
    214,620/332,013 = 332,013/x
  3. Step 3: Cross multiply
    214,620x = 332,013 × 332,013
  4. Step 4: Simplify right side
    214,620x = 110,232,632,169
  5. Step 5: Solve for x
    x = 110,232,632,169/214,620
  6. Step 6: Final answer
    x = 513,617.71

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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.