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Finding the Third Proportional to 175,012 and 382,100

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Solution

The third proportional to 175,012 and 382,100 is: 834,230.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,012 : 382,100 = 382,100 : x
  2. Step 2: Convert to fraction form
    175,012/382,100 = 382,100/x
  3. Step 3: Cross multiply
    175,012x = 382,100 × 382,100
  4. Step 4: Simplify right side
    175,012x = 146,000,410,000
  5. Step 5: Solve for x
    x = 146,000,410,000/175,012
  6. Step 6: Final answer
    x = 834,230.85

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.