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Finding the Third Proportional to 222,263 and 344,250

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Solution

The third proportional to 222,263 and 344,250 is: 533,188.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,263 : 344,250 = 344,250 : x
  2. Step 2: Convert to fraction form
    222,263/344,250 = 344,250/x
  3. Step 3: Cross multiply
    222,263x = 344,250 × 344,250
  4. Step 4: Simplify right side
    222,263x = 118,508,062,500
  5. Step 5: Solve for x
    x = 118,508,062,500/222,263
  6. Step 6: Final answer
    x = 533,188.44

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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.