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Finding the Third Proportional to 220,625 and 330,046

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Solution

The third proportional to 220,625 and 330,046 is: 493,735.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,625 : 330,046 = 330,046 : x
  2. Step 2: Convert to fraction form
    220,625/330,046 = 330,046/x
  3. Step 3: Cross multiply
    220,625x = 330,046 × 330,046
  4. Step 4: Simplify right side
    220,625x = 108,930,362,116
  5. Step 5: Solve for x
    x = 108,930,362,116/220,625
  6. Step 6: Final answer
    x = 493,735.35

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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.