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Finding the Third Proportional to 101,473 and 220,238

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Solution

The third proportional to 101,473 and 220,238 is: 478,006.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,473 : 220,238 = 220,238 : x
  2. Step 2: Convert to fraction form
    101,473/220,238 = 220,238/x
  3. Step 3: Cross multiply
    101,473x = 220,238 × 220,238
  4. Step 4: Simplify right side
    101,473x = 48,504,776,644
  5. Step 5: Solve for x
    x = 48,504,776,644/101,473
  6. Step 6: Final answer
    x = 478,006.73

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.