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Finding the Third Proportional to 85,474.50 and 185,997

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Solution

The third proportional to 85,474.50 and 185,997 is: 404,739.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,474.50 : 185,997 = 185,997 : x
  2. Step 2: Convert to fraction form
    85,474.50/185,997 = 185,997/x
  3. Step 3: Cross multiply
    85,474.50x = 185,997 × 185,997
  4. Step 4: Simplify right side
    85,474.50x = 34,594,884,009
  5. Step 5: Solve for x
    x = 34,594,884,009/85,474.50
  6. Step 6: Final answer
    x = 404,739.24

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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.