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Finding the Third Proportional to 219,744 and 330,201

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Solution

The third proportional to 219,744 and 330,201 is: 496,180.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,744 : 330,201 = 330,201 : x
  2. Step 2: Convert to fraction form
    219,744/330,201 = 330,201/x
  3. Step 3: Cross multiply
    219,744x = 330,201 × 330,201
  4. Step 4: Simplify right side
    219,744x = 109,032,700,401
  5. Step 5: Solve for x
    x = 109,032,700,401/219,744
  6. Step 6: Final answer
    x = 496,180.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.