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Finding the Third Proportional to 220,517.44 and 329,907.94

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Solution

The third proportional to 220,517.44 and 329,907.94 is: 493,563.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,517.44 : 329,907.94 = 329,907.94 : x
  2. Step 2: Convert to fraction form
    220,517.44/329,907.94 = 329,907.94/x
  3. Step 3: Cross multiply
    220,517.44x = 329,907.94 × 329,907.94
  4. Step 4: Simplify right side
    220,517.44x = 108,839,247,225.50
  5. Step 5: Solve for x
    x = 108,839,247,225.50/220,517.44
  6. Step 6: Final answer
    x = 493,563.00

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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.