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Finding the Third Proportional to 105,944 and 220,600

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Solution

The third proportional to 105,944 and 220,600 is: 459,340.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,944 : 220,600 = 220,600 : x
  2. Step 2: Convert to fraction form
    105,944/220,600 = 220,600/x
  3. Step 3: Cross multiply
    105,944x = 220,600 × 220,600
  4. Step 4: Simplify right side
    105,944x = 48,664,360,000
  5. Step 5: Solve for x
    x = 48,664,360,000/105,944
  6. Step 6: Final answer
    x = 459,340.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.