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Finding the Third Proportional to 219,767 and 330,236

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Solution

The third proportional to 219,767 and 330,236 is: 496,233.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,767 : 330,236 = 330,236 : x
  2. Step 2: Convert to fraction form
    219,767/330,236 = 330,236/x
  3. Step 3: Cross multiply
    219,767x = 330,236 × 330,236
  4. Step 4: Simplify right side
    219,767x = 109,055,815,696
  5. Step 5: Solve for x
    x = 109,055,815,696/219,767
  6. Step 6: Final answer
    x = 496,233.81

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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.