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Finding the Third Proportional to 222,720 and 341,136

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Solution

The third proportional to 222,720 and 341,136 is: 522,511.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,720 : 341,136 = 341,136 : x
  2. Step 2: Convert to fraction form
    222,720/341,136 = 341,136/x
  3. Step 3: Cross multiply
    222,720x = 341,136 × 341,136
  4. Step 4: Simplify right side
    222,720x = 116,373,770,496
  5. Step 5: Solve for x
    x = 116,373,770,496/222,720
  6. Step 6: Final answer
    x = 522,511.54

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.