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Finding the Third Proportional to 222,756 and 345,231

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Solution

The third proportional to 222,756 and 345,231 is: 535,044.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,756 : 345,231 = 345,231 : x
  2. Step 2: Convert to fraction form
    222,756/345,231 = 345,231/x
  3. Step 3: Cross multiply
    222,756x = 345,231 × 345,231
  4. Step 4: Simplify right side
    222,756x = 119,184,443,361
  5. Step 5: Solve for x
    x = 119,184,443,361/222,756
  6. Step 6: Final answer
    x = 535,044.82

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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.