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Finding the Third Proportional to 102,604.50 and 220,540.50

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Solution

The third proportional to 102,604.50 and 220,540.50 is: 474,034.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,604.50 : 220,540.50 = 220,540.50 : x
  2. Step 2: Convert to fraction form
    102,604.50/220,540.50 = 220,540.50/x
  3. Step 3: Cross multiply
    102,604.50x = 220,540.50 × 220,540.50
  4. Step 4: Simplify right side
    102,604.50x = 48,638,112,140.25
  5. Step 5: Solve for x
    x = 48,638,112,140.25/102,604.50
  6. Step 6: Final answer
    x = 474,034.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.