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Finding the Third Proportional to 222,851 and 334,331

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Solution

The third proportional to 222,851 and 334,331 is: 501,578.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,851 : 334,331 = 334,331 : x
  2. Step 2: Convert to fraction form
    222,851/334,331 = 334,331/x
  3. Step 3: Cross multiply
    222,851x = 334,331 × 334,331
  4. Step 4: Simplify right side
    222,851x = 111,777,217,561
  5. Step 5: Solve for x
    x = 111,777,217,561/222,851
  6. Step 6: Final answer
    x = 501,578.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.