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Finding the Third Proportional to 219,180 and 330,030

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Solution

The third proportional to 219,180 and 330,030 is: 496,942.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,180 : 330,030 = 330,030 : x
  2. Step 2: Convert to fraction form
    219,180/330,030 = 330,030/x
  3. Step 3: Cross multiply
    219,180x = 330,030 × 330,030
  4. Step 4: Simplify right side
    219,180x = 108,919,800,900
  5. Step 5: Solve for x
    x = 108,919,800,900/219,180
  6. Step 6: Final answer
    x = 496,942.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.