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Finding the Third Proportional to 222,538 and 341,583

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Solution

The third proportional to 222,538 and 341,583 is: 524,310.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,538 : 341,583 = 341,583 : x
  2. Step 2: Convert to fraction form
    222,538/341,583 = 341,583/x
  3. Step 3: Cross multiply
    222,538x = 341,583 × 341,583
  4. Step 4: Simplify right side
    222,538x = 116,678,945,889
  5. Step 5: Solve for x
    x = 116,678,945,889/222,538
  6. Step 6: Final answer
    x = 524,310.21

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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.