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Finding the Third Proportional to 222,588 and 341,244

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Solution

The third proportional to 222,588 and 341,244 is: 523,152.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,588 : 341,244 = 341,244 : x
  2. Step 2: Convert to fraction form
    222,588/341,244 = 341,244/x
  3. Step 3: Cross multiply
    222,588x = 341,244 × 341,244
  4. Step 4: Simplify right side
    222,588x = 116,447,467,536
  5. Step 5: Solve for x
    x = 116,447,467,536/222,588
  6. Step 6: Final answer
    x = 523,152.49

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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.