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Finding the Third Proportional to 222,662 and 344,829

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Solution

The third proportional to 222,662 and 344,829 is: 534,024.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,662 : 344,829 = 344,829 : x
  2. Step 2: Convert to fraction form
    222,662/344,829 = 344,829/x
  3. Step 3: Cross multiply
    222,662x = 344,829 × 344,829
  4. Step 4: Simplify right side
    222,662x = 118,907,039,241
  5. Step 5: Solve for x
    x = 118,907,039,241/222,662
  6. Step 6: Final answer
    x = 534,024.84

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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.