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Finding the Third Proportional to 222,474 and 344,379

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Solution

The third proportional to 222,474 and 344,379 is: 533,082.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,474 : 344,379 = 344,379 : x
  2. Step 2: Convert to fraction form
    222,474/344,379 = 344,379/x
  3. Step 3: Cross multiply
    222,474x = 344,379 × 344,379
  4. Step 4: Simplify right side
    222,474x = 118,596,895,641
  5. Step 5: Solve for x
    x = 118,596,895,641/222,474
  6. Step 6: Final answer
    x = 533,082.05

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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.