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Finding the Third Proportional to 102,344 and 220,238

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Solution

The third proportional to 102,344 and 220,238 is: 473,938.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,344 : 220,238 = 220,238 : x
  2. Step 2: Convert to fraction form
    102,344/220,238 = 220,238/x
  3. Step 3: Cross multiply
    102,344x = 220,238 × 220,238
  4. Step 4: Simplify right side
    102,344x = 48,504,776,644
  5. Step 5: Solve for x
    x = 48,504,776,644/102,344
  6. Step 6: Final answer
    x = 473,938.64

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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.