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Finding the Third Proportional to 102,341 and 220,234

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Solution

The third proportional to 102,341 and 220,234 is: 473,935.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,341 : 220,234 = 220,234 : x
  2. Step 2: Convert to fraction form
    102,341/220,234 = 220,234/x
  3. Step 3: Cross multiply
    102,341x = 220,234 × 220,234
  4. Step 4: Simplify right side
    102,341x = 48,503,014,756
  5. Step 5: Solve for x
    x = 48,503,014,756/102,341
  6. Step 6: Final answer
    x = 473,935.32

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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.