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Finding the Third Proportional to 222,171 and 344,112

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Solution

The third proportional to 222,171 and 344,112 is: 532,981.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,171 : 344,112 = 344,112 : x
  2. Step 2: Convert to fraction form
    222,171/344,112 = 344,112/x
  3. Step 3: Cross multiply
    222,171x = 344,112 × 344,112
  4. Step 4: Simplify right side
    222,171x = 118,413,068,544
  5. Step 5: Solve for x
    x = 118,413,068,544/222,171
  6. Step 6: Final answer
    x = 532,981.66

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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.