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Finding the Third Proportional to 223,947 and 339,474

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Solution

The third proportional to 223,947 and 339,474 is: 514,597.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,947 : 339,474 = 339,474 : x
  2. Step 2: Convert to fraction form
    223,947/339,474 = 339,474/x
  3. Step 3: Cross multiply
    223,947x = 339,474 × 339,474
  4. Step 4: Simplify right side
    223,947x = 115,242,596,676
  5. Step 5: Solve for x
    x = 115,242,596,676/223,947
  6. Step 6: Final answer
    x = 514,597.64

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.