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Finding the Third Proportional to 175,193 and 362,830

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Solution

The third proportional to 175,193 and 362,830 is: 751,431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,193 : 362,830 = 362,830 : x
  2. Step 2: Convert to fraction form
    175,193/362,830 = 362,830/x
  3. Step 3: Cross multiply
    175,193x = 362,830 × 362,830
  4. Step 4: Simplify right side
    175,193x = 131,645,608,900
  5. Step 5: Solve for x
    x = 131,645,608,900/175,193
  6. Step 6: Final answer
    x = 751,431.90

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.