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Finding the Third Proportional to 171,033.50 and 395,899

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Solution

The third proportional to 171,033.50 and 395,899 is: 916,405.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,033.50 : 395,899 = 395,899 : x
  2. Step 2: Convert to fraction form
    171,033.50/395,899 = 395,899/x
  3. Step 3: Cross multiply
    171,033.50x = 395,899 × 395,899
  4. Step 4: Simplify right side
    171,033.50x = 156,736,018,201
  5. Step 5: Solve for x
    x = 156,736,018,201/171,033.50
  6. Step 6: Final answer
    x = 916,405.37

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.