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Finding the Third Proportional to 222,404 and 344,244

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Solution

The third proportional to 222,404 and 344,244 is: 532,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,404 : 344,244 = 344,244 : x
  2. Step 2: Convert to fraction form
    222,404/344,244 = 344,244/x
  3. Step 3: Cross multiply
    222,404x = 344,244 × 344,244
  4. Step 4: Simplify right side
    222,404x = 118,503,931,536
  5. Step 5: Solve for x
    x = 118,503,931,536/222,404
  6. Step 6: Final answer
    x = 532,831.84

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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.