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Finding the Third Proportional to 219,740.24 and 330,195.34

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Solution

The third proportional to 219,740.24 and 330,195.34 is: 496,172.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,740.24 : 330,195.34 = 330,195.34 : x
  2. Step 2: Convert to fraction form
    219,740.24/330,195.34 = 330,195.34/x
  3. Step 3: Cross multiply
    219,740.24x = 330,195.34 × 330,195.34
  4. Step 4: Simplify right side
    219,740.24x = 109,028,962,454.53
  5. Step 5: Solve for x
    x = 109,028,962,454.53/219,740.24
  6. Step 6: Final answer
    x = 496,172.04

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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.