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Finding the Third Proportional to 214,624 and 332,019

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Solution

The third proportional to 214,624 and 332,019 is: 513,626.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,624 : 332,019 = 332,019 : x
  2. Step 2: Convert to fraction form
    214,624/332,019 = 332,019/x
  3. Step 3: Cross multiply
    214,624x = 332,019 × 332,019
  4. Step 4: Simplify right side
    214,624x = 110,236,616,361
  5. Step 5: Solve for x
    x = 110,236,616,361/214,624
  6. Step 6: Final answer
    x = 513,626.70

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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.