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Finding the Third Proportional to 104,662 and 220,442

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Solution

The third proportional to 104,662 and 220,442 is: 464,301.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,662 : 220,442 = 220,442 : x
  2. Step 2: Convert to fraction form
    104,662/220,442 = 220,442/x
  3. Step 3: Cross multiply
    104,662x = 220,442 × 220,442
  4. Step 4: Simplify right side
    104,662x = 48,594,675,364
  5. Step 5: Solve for x
    x = 48,594,675,364/104,662
  6. Step 6: Final answer
    x = 464,301.04

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.