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Finding the Third Proportional to 102,260 and 218,734

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Solution

The third proportional to 102,260 and 218,734 is: 467,871.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,260 : 218,734 = 218,734 : x
  2. Step 2: Convert to fraction form
    102,260/218,734 = 218,734/x
  3. Step 3: Cross multiply
    102,260x = 218,734 × 218,734
  4. Step 4: Simplify right side
    102,260x = 47,844,562,756
  5. Step 5: Solve for x
    x = 47,844,562,756/102,260
  6. Step 6: Final answer
    x = 467,871.73

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.