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Finding the Third Proportional to 222,542 and 341,589

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Solution

The third proportional to 222,542 and 341,589 is: 524,319.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,542 : 341,589 = 341,589 : x
  2. Step 2: Convert to fraction form
    222,542/341,589 = 341,589/x
  3. Step 3: Cross multiply
    222,542x = 341,589 × 341,589
  4. Step 4: Simplify right side
    222,542x = 116,683,044,921
  5. Step 5: Solve for x
    x = 116,683,044,921/222,542
  6. Step 6: Final answer
    x = 524,319.21

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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.