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Finding the Third Proportional to 101,743 and 220,434

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Solution

The third proportional to 101,743 and 220,434 is: 477,587.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,743 : 220,434 = 220,434 : x
  2. Step 2: Convert to fraction form
    101,743/220,434 = 220,434/x
  3. Step 3: Cross multiply
    101,743x = 220,434 × 220,434
  4. Step 4: Simplify right side
    101,743x = 48,591,148,356
  5. Step 5: Solve for x
    x = 48,591,148,356/101,743
  6. Step 6: Final answer
    x = 477,587.14

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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.