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Finding the Third Proportional to 221,556 and 334,366

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Solution

The third proportional to 221,556 and 334,366 is: 504,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,556 : 334,366 = 334,366 : x
  2. Step 2: Convert to fraction form
    221,556/334,366 = 334,366/x
  3. Step 3: Cross multiply
    221,556x = 334,366 × 334,366
  4. Step 4: Simplify right side
    221,556x = 111,800,621,956
  5. Step 5: Solve for x
    x = 111,800,621,956/221,556
  6. Step 6: Final answer
    x = 504,615.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.