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Finding the Third Proportional to 175,660 and 263,010

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Solution

The third proportional to 175,660 and 263,010 is: 393,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,660 : 263,010 = 263,010 : x
  2. Step 2: Convert to fraction form
    175,660/263,010 = 263,010/x
  3. Step 3: Cross multiply
    175,660x = 263,010 × 263,010
  4. Step 4: Simplify right side
    175,660x = 69,174,260,100
  5. Step 5: Solve for x
    x = 69,174,260,100/175,660
  6. Step 6: Final answer
    x = 393,796.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.