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Finding the Third Proportional to 222,177 and 344,121

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Solution

The third proportional to 222,177 and 344,121 is: 532,995.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,177 : 344,121 = 344,121 : x
  2. Step 2: Convert to fraction form
    222,177/344,121 = 344,121/x
  3. Step 3: Cross multiply
    222,177x = 344,121 × 344,121
  4. Step 4: Simplify right side
    222,177x = 118,419,262,641
  5. Step 5: Solve for x
    x = 118,419,262,641/222,177
  6. Step 6: Final answer
    x = 532,995.15

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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.