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Finding the Third Proportional to 222,204 and 344,106

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Solution

The third proportional to 222,204 and 344,106 is: 532,883.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,204 : 344,106 = 344,106 : x
  2. Step 2: Convert to fraction form
    222,204/344,106 = 344,106/x
  3. Step 3: Cross multiply
    222,204x = 344,106 × 344,106
  4. Step 4: Simplify right side
    222,204x = 118,408,939,236
  5. Step 5: Solve for x
    x = 118,408,939,236/222,204
  6. Step 6: Final answer
    x = 532,883.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.