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Finding the Third Proportional to 222,261 and 344,247

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Solution

The third proportional to 222,261 and 344,247 is: 533,183.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,261 : 344,247 = 344,247 : x
  2. Step 2: Convert to fraction form
    222,261/344,247 = 344,247/x
  3. Step 3: Cross multiply
    222,261x = 344,247 × 344,247
  4. Step 4: Simplify right side
    222,261x = 118,505,997,009
  5. Step 5: Solve for x
    x = 118,505,997,009/222,261
  6. Step 6: Final answer
    x = 533,183.95

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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.