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Finding the Third Proportional to 220,534.50 and 329,933.25

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Solution

The third proportional to 220,534.50 and 329,933.25 is: 493,600.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,534.50 : 329,933.25 = 329,933.25 : x
  2. Step 2: Convert to fraction form
    220,534.50/329,933.25 = 329,933.25/x
  3. Step 3: Cross multiply
    220,534.50x = 329,933.25 × 329,933.25
  4. Step 4: Simplify right side
    220,534.50x = 108,855,949,455.56
  5. Step 5: Solve for x
    x = 108,855,949,455.56/220,534.50
  6. Step 6: Final answer
    x = 493,600.55

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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.