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Finding the Third Proportional to 152,975 and 336,204

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Solution

The third proportional to 152,975 and 336,204 is: 738,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,975 : 336,204 = 336,204 : x
  2. Step 2: Convert to fraction form
    152,975/336,204 = 336,204/x
  3. Step 3: Cross multiply
    152,975x = 336,204 × 336,204
  4. Step 4: Simplify right side
    152,975x = 113,033,129,616
  5. Step 5: Solve for x
    x = 113,033,129,616/152,975
  6. Step 6: Final answer
    x = 738,899.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.