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Finding the Third Proportional to 101,952 and 220,309

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Solution

The third proportional to 101,952 and 220,309 is: 476,067.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952 : 220,309 = 220,309 : x
  2. Step 2: Convert to fraction form
    101,952/220,309 = 220,309/x
  3. Step 3: Cross multiply
    101,952x = 220,309 × 220,309
  4. Step 4: Simplify right side
    101,952x = 48,536,055,481
  5. Step 5: Solve for x
    x = 48,536,055,481/101,952
  6. Step 6: Final answer
    x = 476,067.71

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.